Neutrosophic k-Number

Neutrosophic k-Number
Author: Dr. Henry Garrett
Publisher: Dr. Henry Garrett
Total Pages: 252
Release: 2023-02-01
Genre: Mathematics
ISBN:

In this research book, there are some research chapters on “Neutrosophic k-Number”. With researches on the basic properties, the research book starts to make Neutrosophic k-Number more understandable. Some studies and researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 2498 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some studies and researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 3218 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and SuperHyperDominating in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf). \section{Background} There are some researches covering the topic of this research. In what follows, there are some discussion and literature reviews about them. \\ First article is titled ``properties of SuperHyperGraph and neutrosophic SuperHyperGraph'' in \textbf{Ref.} \cite{HG1} by Henry Garrett (2022). It's first step toward the research on neutrosophic SuperHyperGraphs. This research article is published on the journal ``Neutrosophic Sets and Systems'' in issue 49 and the pages 531-561. In this research article, different types of notions like dominating, resolving, coloring, Eulerian(Hamiltonian) neutrosophic path, n-Eulerian(Hamiltonian) neutrosophic path, zero forcing number, zero forcing neutrosophic- number, independent number, independent neutrosophic-number, clique number, clique neutrosophic-number, matching number, matching neutrosophic-number, girth, neutrosophic girth, 1-zero-forcing number, 1-zero- forcing neutrosophic-number, failed 1-zero-forcing number, failed 1-zero-forcing neutrosophic-number, global- offensive alliance, t-offensive alliance, t-defensive alliance, t-powerful alliance, and global-powerful alliance are defined in SuperHyperGraph and neutrosophic SuperHyperGraph. Some Classes of SuperHyperGraph and Neutrosophic SuperHyperGraph are cases of research. Some results are applied in family of SuperHyperGraph and neutrosophic SuperHyperGraph. Thus this research article has concentrated on the vast notions and introducing the majority of notions. \\ The seminal paper and groundbreaking article is titled ``neutrosophic co-degree and neutrosophic degree alongside chromatic numbers in the setting of some classes related to neutrosophic hypergraphs'' in \textbf{Ref.} \cite{HG2} by Henry Garrett (2022). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on general forms without using neutrosophic classes of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “Journal of Current Trends in Computer Science Research (JCTCSR)” with abbreviation ``J Curr Trends Comp Sci Res'' in volume 1 and issue 1 with pages 06-14. The research article studies deeply with choosing neutrosophic hypergraphs instead of neutrosophic SuperHyperGraph. It's the breakthrough toward independent results based on initial background. \\ The seminal paper and groundbreaking article is titled ``Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes'' in \textbf{Ref.} \cite{HG3} by Henry Garrett (2022). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental SuperHyperNumber and using neutrosophic SuperHyperClasses of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “Journal of Mathematical Techniques and Computational Mathematics(JMTCM)” with abbreviation ``J Math Techniques Comput Math'' in volume 1 and issue 3 with pages 242-263. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ In some articles are titled ``0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph'' in \textbf{Ref.} \cite{HG4} by Henry Garrett (2022), ``0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs'' in \textbf{Ref.} \cite{HG5} by Henry Garrett (2022), ``Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG6} by Henry Garrett (2022), ``Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition'' in \textbf{Ref.} \cite{HG7} by Henry Garrett (2022), ``Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG8} by Henry Garrett (2022), ``The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph'' in \textbf{Ref.} \cite{HG9} by Henry Garrett (2022), ``Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG10} by Henry Garrett (2022), ``Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG11} by Henry Garrett (2022), ``Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG13} by Henry Garrett (2022), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG14} by Henry Garrett (2022), ``Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond'' in \textbf{Ref.} \cite{HG15} by Henry Garrett (2022), ``(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs '' in \textbf{Ref.} \cite{HG16} by Henry Garrett (2022), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG17} by Henry Garrett (2022), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG18} by Henry Garrett (2022),``(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances'' in \textbf{Ref.} \cite{HG19} by Henry Garrett (2022), ``(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses'' in \textbf{Ref.} \cite{HG20} by Henry Garrett (2022), ``SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions'' in \textbf{Ref.} \cite{HG21} by Henry Garrett (2022), ``Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments'' in \textbf{Ref.} \cite{HG22} by Henry Garrett (2022), ``SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses'' in \textbf{Ref.} \cite{HG23} by Henry Garrett (2022), ``SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG24} by Henry Garrett (2023), ``The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG25} by Henry Garrett (2023), ``Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG26} by Henry Garrett (2023), ``Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG27} by Henry Garrett (2023), ``Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG28} by Henry Garrett (2023), ``Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique'' in \textbf{Ref.} \cite{HG29} by Henry Garrett (2023), ``Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG30} by Henry Garrett (2023), ``Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG31} by Henry Garrett (2023), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG32} by Henry Garrett (2023), ``(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG33} by Henry Garrett (2023), ``Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond'' in \textbf{Ref.} \cite{HG34} by Henry Garrett (2022), ``(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG35} by Henry Garrett (2022), ``Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG36} by Henry Garrett (2022), ``Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph'' in \textbf{Ref.} \cite{HG37} by Henry Garrett (2022), ``Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)'' in \textbf{Ref.} \cite{HG38} by Henry Garrett (2022), there are some endeavors to formalize the basic SuperHyperNotions about neutrosophic SuperHyperGraph and SuperHyperGraph. \\ Some studies and researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG39} by Henry Garrett (2022) which is indexed by Google Scholar and has more than 2732 readers in Scribd. It's titled ``Beyond Neutrosophic Graphs'' and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. \\ Also, some studies and researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG40} by Henry Garrett (2022) which is indexed by Google Scholar and has more than 3504 readers in Scribd. It's titled ``Neutrosophic Duality'' and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and SuperHyperDominating in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It's smart to consider a set but acting on its complement that what's done in this research book which is popular in the terms of high readers in Scribd. -- \begin{thebibliography}{595} \bibitem{HG1} Henry Garrett, ``\textit{Properties of SuperHyperGraph and Neutrosophic SuperHyperGraph}'', Neutrosophic Sets and Systems 49 (2022) 531-561 (doi: 10.5281/zenodo.6456413). (http://fs.unm.edu/NSS/NeutrosophicSuperHyperGraph34.pdf). (https://digitalrepository.unm.edu/nss\_journal/vol49/iss1/34). \bibitem{HG2} Henry Garrett, ``\textit{Neutrosophic Co-degree and Neutrosophic Degree alongside Chromatic Numbers in the Setting of Some Classes Related to Neutrosophic Hypergraphs}'', J Curr Trends Comp Sci Res 1(1) (2022) 06-14. \bibitem{HG3} Henry Garrett, ``\textit{Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes}'', J Math Techniques Comput Math 1(3) (2022) 242-263. \bibitem{HG4} Garrett, Henry. ``\textit{0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph.}'' CERN European Organization for Nuclear Research - Zenodo, Nov. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.5281/zenodo.6319942. https://oa.mg/work/10.5281/zenodo.6319942 \bibitem{HG5} Garrett, Henry. ``\textit{0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs.}'' CERN European Organization for Nuclear Research - Zenodo, Feb. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.13140/rg.2.2.35241.26724. https://oa.mg/work/10.13140/rg.2.2.35241.26724 \bibitem{HG6} Henry Garrett, ``\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1). \bibitem{HG7} Henry Garrett, ``\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}'', Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1). \bibitem{HG8} Henry Garrett, ``\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1). \bibitem{HG9} Henry Garrett, ``\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}'', Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1). \bibitem{HG10} Henry Garrett, ``\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1). \bibitem{HG11} Henry Garrett, ``\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1). \bibitem{HG12} Henry Garrett, ``\textit{Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1). \bibitem{HG13} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG14} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG15} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', Preprints 2023, 2023010044 \bibitem{HG16} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1). \bibitem{HG17} Henry Garrett, \textit{``Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs''}, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG18} Henry Garrett, \textit{``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints''}, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG19} Henry Garrett, \textit{``(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances''}, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1). \bibitem{HG20} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}'', Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1). \bibitem{HG21} Henry Garrett, ``\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}'', Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1). \bibitem{HG22} Henry Garrett, ``\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}'', Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1). \bibitem{HG23} Henry Garrett, ``\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}'', Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1). \bibitem{HG24} Henry Garrett,``\textit{SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs}'', ResearchGate 2023,(doi: 10.13140/RG.2.2.35061.65767). \bibitem{HG25} Henry Garrett,``\textit{The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.18494.15680). \bibitem{HG26} Henry Garrett,``\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922). \bibitem{HG27} Henry Garrett,``\textit{Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.15897.70243). \bibitem{HG28} Henry Garrett,``\textit{Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.30092.80004). \bibitem{HG29} Henry Garrett,``\textit{Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.23172.19849). \bibitem{HG30} Henry Garrett,``\textit{Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.17385.36968). \bibitem{HG31} Henry Garrett, ``\textit{Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.28945.92007). \bibitem{HG32} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.11447.80803). \bibitem{HG33} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.35774.77123). \bibitem{HG34} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.36141.77287). \bibitem{HG35} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.29430.88642). \bibitem{HG36} Henry Garrett, ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.11369.16487). \bibitem{HG37} Henry Garrett, \textit{``Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph''}, ResearchGate 2022 (doi: 10.13140/RG.2.2.29173.86244). \bibitem{HG38} Henry Garrett, ``\textit{Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)}'', ResearchGate 2022 (doi: 10.13140/RG.2.2.25385.88160). \bibitem{HG39} Henry Garrett, (2022). ``\textit{Beyond Neutrosophic Graphs}'', Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 979-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). \bibitem{HG40} Henry Garrett, (2022). ``\textit{Neutrosophic Duality}'', Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf). \end{thebibliography}

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing
Author: Haibin Wang
Publisher: Infinite Study
Total Pages: 99
Release: 2005
Genre: Mathematics
ISBN: 1931233942

This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

K-Number In SuperHyperGraphs

K-Number In SuperHyperGraphs
Author: Dr. Henry Garrett
Publisher: Dr. Henry Garrett
Total Pages: 476
Release: 2023-02-23
Genre: Mathematics
ISBN:

In this scientific research book, there are some scientific research chapters on “Extreme K-Number In SuperHyperGraphs ” and “Neutrosophic K-Number In SuperHyperGraphs ” about some scientific researches on K-Number In SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme K-Number In SuperHyperGraphs and Neutrosophic K-Number In SuperHyperGraphs . With scientific researches on the basic properties, the scientific research book starts to make Extreme K-Number In SuperHyperGraphs theory and Neutrosophic K-Number In SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 3230 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4117 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and K-Number In SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf). — “#167 Article” Henry Garrett, “New Ideas On Super Gradient By Hyper k-Class Of SuperHyperK-Number In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23037.44003). @ResearchGate: https://www.researchgate.net/publication/368753609 @Scribd: https://www.scribd.com/document/627635276 @ZENODO_ORG: https://zenodo.org/record/7672351 @academia: https://www.academia.edu/97431782 — “#168 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Number As Hyper k-Partition On Super Layers”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33103.76968). @ResearchGate: https://www.researchgate.net/publication/368752952 @Scribd: https://www.scribd.com/document/627632376 @ZENODO_ORG: https://zenodo.org/record/7672331 @academia: https://www.academia.edu/97431255 — — — “#119th Book” || K-Number In SuperHyperGraphs @googlebooks:https://books.google.com/books/about?id=- @GooglePlay:https://play.google.com/store/books/details?id=- @ResearchGate: https://www.researchgate.net/publication/368754006 @WordPress: https://drhenrygarrett.wordpress.com/2023/02/25/K-Number-In-SuperHyperGraphs/ @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/7672388 @academia:https://www.academia.edu/97432495 — — “#119th Book” || K-Number In SuperHyperGraphs #Link (Paperback): https://www.amazon.com/dp/B0BW2KJKJD (Hardcover): https://www.amazon.com/dp/B0BW2BSXTG (Kindle Edition): https://www.amazon.com/dp/B0BWMKNH7H #ISBN (Paperback): 9798378647705 (Hardcover): 9798378648146 (Kindle Edition): CC BY-NC-ND 4.0 — — Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay \section{Background} There are some scientific researches covering the topic of this research. In what follows, there are some discussion and literature reviews about them date back on February 19, 2023. \\ First article is titled ``properties of SuperHyperGraph and neutrosophic SuperHyperGraph'' in \textbf{Ref.} \cite{HG1} by Henry Garrett (2022). It's first step toward the research on neutrosophic SuperHyperGraphs. This research article is published on the journal ``Neutrosophic Sets and Systems'' in issue 49 and the pages 531-561. In this research article, different types of notions like dominating, resolving, coloring, Eulerian(Hamiltonian) neutrosophic path, n-Eulerian(Hamiltonian) neutrosophic path, zero forcing number, zero forcing neutrosophic- number, independent number, independent neutrosophic-number, clique number, clique neutrosophic-number, matching number, matching neutrosophic-number, girth, neutrosophic girth, 1-zero-forcing number, 1-zero- forcing neutrosophic-number, failed 1-zero-forcing number, failed 1-zero-forcing neutrosophic-number, global- offensive alliance, t-offensive alliance, t-defensive alliance, t-powerful alliance, and global-powerful alliance are defined in SuperHyperGraph and neutrosophic SuperHyperGraph. Some Classes of SuperHyperGraph and Neutrosophic SuperHyperGraph are cases of research. Some results are applied in family of SuperHyperGraph and neutrosophic SuperHyperGraph. Thus this research article has concentrated on the vast notions and introducing the majority of notions. \\ The seminal paper and groundbreaking article is titled ``neutrosophic co-degree and neutrosophic degree alongside chromatic numbers in the setting of some classes related to neutrosophic hypergraphs'' in \textbf{Ref.} \cite{HG2} by Henry Garrett (2022). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on general forms without using neutrosophic classes of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “Journal of Current Trends in Computer Science Research (JCTCSR)” with ISO abbreviation ``J Curr Trends Comp Sci Res'' in volume 1 and issue 1 with pages 06-14. The research article studies deeply with choosing neutrosophic hypergraphs instead of neutrosophic SuperHyperGraph. It's the breakthrough toward independent results based on initial background. \\ The seminal paper and groundbreaking article is titled ``Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes'' in \textbf{Ref.} \cite{HG3} by Henry Garrett (2022). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental SuperHyperNumber and using neutrosophic SuperHyperClasses of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “Journal of Mathematical Techniques and Computational Mathematics(JMTCM)” with ISO abbreviation ``J Math Techniques Comput Math'' in volume 1 and issue 3 with pages 242-263. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ The seminal paper and groundbreaking article is titled ``Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments'' in \textbf{Ref.} \cite{HG133} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental notions and using vital tools in Cancer’s Treatments. It's published in prestigious and fancy journal is entitled “Journal of Mathematical Techniques and Computational Mathematics(JMTCM)” with ISO abbreviation ``J Math Techniques Comput Math'' in volume 2 and issue 1 with pages 35-47. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ In some articles are titled ``0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph'' in \textbf{Ref.} \cite{HG4} by Henry Garrett (2022), ``0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs'' in \textbf{Ref.} \cite{HG5} by Henry Garrett (2022), ``Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG6} by Henry Garrett (2022), ``Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition'' in \textbf{Ref.} \cite{HG7} by Henry Garrett (2022), ``Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG8} by Henry Garrett (2022), ``The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph'' in \textbf{Ref.} \cite{HG9} by Henry Garrett (2022), ``Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG10} by Henry Garrett (2022), ``Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG11} by Henry Garrett (2022), ``Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG13} by Henry Garrett (2022), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG14} by Henry Garrett (2022), ``Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond'' in \textbf{Ref.} \cite{HG15} by Henry Garrett (2022), ``(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs '' in \textbf{Ref.} \cite{HG16} by Henry Garrett (2022), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG17} by Henry Garrett (2022), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG18} by Henry Garrett (2022),``(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances'' in \textbf{Ref.} \cite{HG19} by Henry Garrett (2022), ``(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses'' in \textbf{Ref.} \cite{HG20} by Henry Garrett (2022), ``SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions'' in \textbf{Ref.} \cite{HG21} by Henry Garrett (2022), ``Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments'' in \textbf{Ref.} \cite{HG22} by Henry Garrett (2022), ``SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses'' in \textbf{Ref.} \cite{HG23} by Henry Garrett (2022), ``SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG24} by Henry Garrett (2023), ``The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG25} by Henry Garrett (2023), ``Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG26} by Henry Garrett (2023), ``Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG27} by Henry Garrett (2023), ``Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG28} by Henry Garrett (2023), ``Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique'' in \textbf{Ref.} \cite{HG29} by Henry Garrett (2023), ``Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG30} by Henry Garrett (2023), ``Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG31} by Henry Garrett (2023), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG32} by Henry Garrett (2023), ``(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG33} by Henry Garrett (2023), ``Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond'' in \textbf{Ref.} \cite{HG34} by Henry Garrett (2022), ``(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG35} by Henry Garrett (2022), ``Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG36} by Henry Garrett (2022), ``Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph'' in \textbf{Ref.} \cite{HG37} by Henry Garrett (2022), ``Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)'' in \textbf{Ref.} \cite{HG38} by Henry Garrett (2022), there are some endeavors to formalize the basic SuperHyperNotions about neutrosophic SuperHyperGraph and SuperHyperGraph. \\ Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG39} by Henry Garrett (2022) which is indexed by Google Scholar and has more than 3230 readers in Scribd. It's titled ``Beyond Neutrosophic Graphs'' and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. \\ Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG40} by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4117 readers in Scribd. It's titled ``Neutrosophic Duality'' and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and SuperHyperDominating in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It's smart to consider a set but acting on its complement that what's done in this research book which is popular in the terms of high readers in Scribd. \\ See the seminal scientific researches \cite{HG1,HG2,HG3}. The formalization of the notions on the framework of Extreme K-Number In SuperHyperGraphs, Neutrosophic K-Number In SuperHyperGraphs theory, and (Neutrosophic) SuperHyperGraphs theory at \cite{HG4,HG5,HG6,HG7,HG8,HG9,HG10,HG11,HG12,HG13,HG14,HG15,HG16,HG17,HG18,HG19,HG20,HG21,HG22,HG23,HG24,HG25,HG26,HG27,HG28,HG29,HG30,HG31,HG32,HG33,HG34,HG35,HG36,HG37,HG38,HG94,HG942,HG95,HG952,HG96,HG962,HG97,HG972,HG98,HG982,HG106,HG107,HG111,HG112,HG115,HG116,HG120,HG121,HG122,HG123,HG124,HG125,HG126,HG127,HG128,HG129,HG130,HG131,HG132,HG133,HG134,HG135,HG136,HG137,HG138,HG139,HG140,HG141,HG142,HG143,HG144,HG145,HG146,HG147,HG148,HG149,HG150,HG151,HG152,HG153,HG154,HG155,HG156,HG157,HG158,HG159,HG162}. Two popular scientific research books in Scribd in the terms of high readers, 3230 and 4117 respectively, on neutrosophic science is on \cite{HG39,HG40}. -- \begin{thebibliography}{595} \bibitem{HG1} Henry Garrett, ``\textit{Properties of SuperHyperGraph and Neutrosophic SuperHyperGraph}'', Neutrosophic Sets and Systems 49 (2022) 531-561 (doi: 10.5281/zenodo.6456413). (http://fs.unm.edu/NSS/NeutrosophicSuperHyperGraph34.pdf). (https://digitalrepository.unm.edu/nss\_journal/vol49/iss1/34). \bibitem{HG2} Henry Garrett, ``\textit{Neutrosophic Co-degree and Neutrosophic Degree alongside Chromatic Numbers in the Setting of Some Classes Related to Neutrosophic Hypergraphs}'', J Curr Trends Comp Sci Res 1(1) (2022) 06-14. \bibitem{HG3} Henry Garrett, “Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes”, J Math Techniques Comput Math 1(3) (2022) 242-263. (doi: 10.33140/JMTCM.01.03.09) \bibitem{HG133} Henry Garrett, “Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments”, J Math Techniques Comput Math 2(1) (2023) 35-47. (https://www.opastpublishers.com/open-access-articles/some-super-hyper-degrees-and-cosuper-hyper-degrees-on-neutrosophic-super-hyper-graphs-and-super-hyper-graphs-alongside-a.pdf) \bibitem{HG4} Garrett, Henry. ``\textit{0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph.}'' CERN European Organization for Nuclear Research - Zenodo, Nov. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.5281/zenodo.6319942. https://oa.mg/work/10.5281/zenodo.6319942 \bibitem{HG5} Garrett, Henry. ``\textit{0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs.}'' CERN European Organization for Nuclear Research - Zenodo, Feb. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.13140/rg.2.2.35241.26724. https://oa.mg/work/10.13140/rg.2.2.35241.26724 \bibitem{HG6} Henry Garrett, ``\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1). \bibitem{HG7} Henry Garrett, ``\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}'', Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1). \bibitem{HG8} Henry Garrett, ``\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1). \bibitem{HG9} Henry Garrett, ``\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}'', Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1). \bibitem{HG10} Henry Garrett, ``\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1). \bibitem{HG11} Henry Garrett, ``\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1). \bibitem{HG12} Henry Garrett, ``\textit{Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1). \bibitem{HG13} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG14} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG15} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', Preprints 2023, 2023010044 \bibitem{HG16} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1). \bibitem{HG17} Henry Garrett, \textit{``Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs''}, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG18} Henry Garrett, \textit{``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints''}, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG19} Henry Garrett, \textit{``(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances''}, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1). \bibitem{HG20} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}'', Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1). \bibitem{HG21} Henry Garrett, ``\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}'', Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1). \bibitem{HG22} Henry Garrett, ``\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}'', Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1). \bibitem{HG23} Henry Garrett, ``\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}'', Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1). \bibitem{HG162} Henry Garrett, “New Ideas On Super Contradiction By Hyper Detection of SuperHyperDefensive In Cancer's Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13397.09446). \bibitem{HG159} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperDominating As Hyper Closing On Super Messy”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21510.45125). \bibitem{HG158} Henry Garrett, “New Ideas On Super Missing By Hyper Searching Of SuperHyperDominating In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13121.84321). \bibitem{HG157} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperConnected As Hyper Group On Super Surge”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11758.69441). \bibitem{HG156} Henry Garrett, “New Ideas On Super Outbreak By Hyper Collections Of SuperHyperConnected In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31891.35367). \bibitem{HG155} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperTotal As Hyper Covering On Super Infections”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19360.87048). \bibitem{HG154} Henry Garrett, “New Ideas On Super Extremism By Hyper Treatments Of SuperHyperTotal In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32363.21286). \bibitem{HG153} Henry Garrett, “New Ideas On Super Isolation By Hyper Perfectness Of SuperHyperPerfect In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23266.81602). \bibitem{HG152} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperPerfect As Hyper Idealism On Super Vacancy”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19911.37285). \bibitem{HG151} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperJoin As Hyper Separations On Super Sorts”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11050.90569). \bibitem{HG150} Henry Garrett, “New Ideas On Super connections By Hyper disconnections Of SuperHyperJoin In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17761.79206). \bibitem{HG149} Henry Garrett, “New Ideas On Super Mixed-Devastations By Hyper Decisions Of SuperHyperDuality In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34953.52320). \bibitem{HG148} Henry Garrett, “New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By SuperHyperDuality As Hyper Imaginations On Super Mixed-Illustrations”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33275.80161). \bibitem{HG147} Henry Garrett, “New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By Path SuperHyperColoring As Hyper Correction On Super Faults”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30182.50241). \bibitem{HG146} Henry Garrett, “New Ideas On Super Reflections By Hyper Rotations Of Path SuperHyperColoring In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33459.30243). \bibitem{HG145} Henry Garrett, “New Ideas As Hyper Deformations On Super Chains In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph By SuperHyperDensity”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13444.60806). \bibitem{HG144} Henry Garrett, “New Ideas As Hyper Ignorance By SuperHyperDensity On Super Resistances In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023, (doi:10.13140/RG.2.2.16800.05123). \bibitem{HG143} Henry Garrett, “New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-VI”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29913.80482). \bibitem{HG142} Henry Garrett, “New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-V”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33269.24809). \bibitem{HG141} Henry Garrett, “New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-IV”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34946.96960). \bibitem{HG140} Henry Garrett, “A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-III”, ResearchGate 2023, (doi: 10.13140/RG.2.2.14814.31040). \bibitem{HG139} Henry Garrett, “A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-II”, ResearchGate 2023, (doi: 10.13140/RG.2.2.15653.17125). \bibitem{HG138} Henry Garrett, “A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-I”, ResearchGate 2023, (doi: 10.13140/RG.2.2.25719.50089). \bibitem{HG137} Henry Garrett, “New Ideas On Super Disruptions In Cancer’s Extreme Recognition As Neutrosophic SuperHyperGraph By Hyper Plans Called SuperHyperConnectivities”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29441.94562). \bibitem{HG136} Henry Garrett, “Cancer’s Neutrosophic Recognition As Neutrosophic SuperHyperGraph By SuperHyperConnectivities As Hyper Diagnosis On Super Mechanism”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17252.24968). \bibitem{HG135} Henry Garrett,“Cancer’s Recognition and (Neutrosophic) SuperHyperGraph By the Criteria of Eulerian and Hamiltonian Type-Sets As Hyper Modified Cycles On Super Mess”, ResearchGate 2023,(doi: 10.13140/RG.2.2.16652.59525). \bibitem{HG134} Henry Garrett,“Eulerian and Hamiltonian In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph On Super Interactions By Hyper Extensions of Cycles”, ResearchGate 2023,(doi: 10.13140/RG.2.2.34583.24485). \bibitem{HG133} Henry Garrett, “Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments”, J Math Techniques Comput Math 2(1) (2023) 35-47. \bibitem{HG132} Henry Garrett,“SuperHyperGirth Type-Results on extreme SuperHyperGirth theory and (Neutrosophic) SuperHyperGraphs Toward Cancer’s extreme Recognition”, Preprints 2023, 2023010396 (doi: 10.20944/preprints202301.0396.v1). \bibitem{HG131} Henry Garrett,“Neutrosophic SuperHyperGraphs Warns Hyper Landmark of neutrosophic SuperHyperGirth In Super Type-Versions of Cancer’s neutrosophic Recognition”, Preprints 2023, 2023010395 (doi: 10.20944/preprints202301.0395.v1). \bibitem{HG130} Henry Garrett,“The Constructions of (Neutrosophic) SuperHyperGraphs on the Cancer’s Recognition in The Confrontation With Super Attacks In Hyper Situations By Implementing (Neutrosophic) 1-Failed SuperHyperForcing in The Technical Approaches to Neutralize SuperHyperViews”, ResearchGate 2023, (doi: 10.13140/RG.2.2.26240.51204). \bibitem{HG129} Henry Garrett,“(Neutrosophic) 1-Failed SuperHyperForcing As the Entrepreneurs on Cancer’s Recognitions To Fail Forcing Style As the Super Classes With Hyper Effects In The Background of the Framework is So-Called (Neutrosophic) SuperHyperGraphs”, ResearchGate 2023, (doi: 10.13140/RG.2.2.12818.73925). \bibitem{HG128} Henry Garrett,“Super Actions On The Types of Hyper Levels In The Sensible Neutrosophic SuperHyperGirth On Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023,(doi: 10.13140/RG.2.2.26836.88960). \bibitem{HG127} Henry Garrett,“SuperHyperGirth Approaches on the Super Challenges on the Cancer’s Recognition In the Hyper Model of (Neutrosophic) SuperHyperGraph”, ResearchGate 2023,(doi: 10.13140/RG.2.2.36745.93289). \bibitem{HG126} Henry Garrett,“Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1). \bibitem{HG125} Henry Garrett,“Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition”, Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1). \bibitem{HG124} Henry Garrett,“Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs”, Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1).). \bibitem{HG123} Henry Garrett, “The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph”, Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1). \bibitem{HG122} Henry Garrett,“Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1). \bibitem{HG121} Henry Garrett, “Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs”, Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1). \bibitem{HG120} Henry Garrett, “Extremism of the Attacked Body Under the Cancer’s Circumstances Where Cancer’s Recognition Titled (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1). \bibitem{HG24} Henry Garrett,``\textit{SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs}'', ResearchGate 2023,(doi: 10.13140/RG.2.2.35061.65767). \bibitem{HG25} Henry Garrett,``\textit{The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.18494.15680). \bibitem{HG26} Henry Garrett,``\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922). \bibitem{HG27} Henry Garrett,``\textit{Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.15897.70243). \bibitem{HG116} Henry Garrett,“Extreme Failed SuperHyperClique Decides the Failures on the Cancer’s Recognition in the Perfect Connections of Cancer’s Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922). \bibitem{HG115} Henry Garrett, “(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG28} Henry Garrett,``\textit{Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.30092.80004). \bibitem{HG29} Henry Garrett,``\textit{Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.23172.19849). \bibitem{HG112} Henry Garrett, “Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG111} Henry Garrett, “Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints”, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG30} Henry Garrett,``\textit{Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.17385.36968). \bibitem{HG107} Henry Garrett, “Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond”, Preprints 2023, 2023010044 \bibitem{HG106} Henry Garrett, “(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1). \bibitem{HG31} Henry Garrett, ``\textit{Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.28945.92007). \bibitem{HG32} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.11447.80803). \bibitem{HG33} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.35774.77123). \bibitem{HG34} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.36141.77287). \bibitem{HG35} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.29430.88642). \bibitem{HG36} Henry Garrett, ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.11369.16487). \bibitem{HG982} Henry Garrett, “(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances”, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1). \bibitem{HG98} Henry Garrett, “(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances”, ResearchGate 2022, (doi: 10.13140/RG.2.2.19380.94084). \bibitem{HG972} Henry Garrett, “(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses”, Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1). \bibitem{HG97} Henry Garrett, “(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses”, ResearchGate 2022, (doi: 10.13140/RG.2.2.14426.41923). \bibitem{HG962} Henry Garrett, “SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions”, Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1). \bibitem{HG96} Henry Garrett, “SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions”, ResearchGate 2022 (doi: 10.13140/RG.2.2.20993.12640). \bibitem{HG952} Henry Garrett,“Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments”, Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1). \bibitem{HG95} Henry Garrett, “Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs And SuperHyperGraphs Alongside Applications in Cancer’s Treatments”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23123.04641). \bibitem{HG942} Henry Garrett, “SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses”, Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1). \bibitem{HG94} Henry Garrett, “SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23324.56966). \bibitem{HG37} Henry Garrett, \textit{``Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph''}, ResearchGate 2022 (doi: 10.13140/RG.2.2.29173.86244). \bibitem{HG38} Henry Garrett, ``\textit{Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)}'', ResearchGate 2022 (doi: 10.13140/RG.2.2.25385.88160). \bibitem{HG39} Henry Garrett, (2022). ``\textit{Beyond Neutrosophic Graphs}'', Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 979-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). \bibitem{HG40} Henry Garrett, (2022). ``\textit{Neutrosophic Duality}'', Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf). \end{thebibliography} In this scientific research book, there are some scientific research chapters on “Extreme K-Number In SuperHyperGraphs” and “Neutrosophic K-Number In SuperHyperGraphs” about some scientific researches on K-Number In SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme K-Number In SuperHyperGraphs and Neutrosophic K-Number In SuperHyperGraphs. With scientific research on the basic scientific research properties, the scientific research book starts to make Extreme K-Number In SuperHyperGraphs theory and Neutrosophic K-Number In SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 3230 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4117 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and K-Number In SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf).

Introduction to Neutrosophic Statistics

Introduction to Neutrosophic Statistics
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 125
Release: 2014
Genre: Mathematics
ISBN: 1599732742

Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.

Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications

Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications
Author: Avishek Chakraborty
Publisher: Infinite Study
Total Pages: 27
Release:
Genre: Mathematics
ISBN:

In this paper, we introduce the concept of neutrosophic number from different viewpoints. We define different types of linear and non-linear generalized triangular neutrosophic numbers which are very important for uncertainty theory. We introduced the de-neutrosophication concept for neutrosophic number for triangular neutrosophic numbers. This concept helps us to convert a neutrosophic number into a crisp number. The concepts are followed by two application, namely in imprecise project evaluation review technique and route selection problem.

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 213
Release: 2003-01-01
Genre: Mathematics
ISBN: 1931233764

In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of Neutrosophy (the philosophy of neutralities, introduced by FLORENTIN SMARANDACHE), and its connected logic Neutrosophic Logic, which is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs). Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in intimate technology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network models; traffic and transportation problems; medical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; child labor problem; industrial relations: between employer and employee, maximizing production and profit; decision support in intelligent intrusion detection system; hyper-knowledge representation in strategy formation; female infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AIDS epidemic.

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 10
Release: 2010-08-23
Genre: Mathematics
ISBN:

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Neutrosophic Rings

Neutrosophic Rings
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 154
Release: 2006-01-01
Genre: Mathematics
ISBN: 1931233209

Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.

Eulerian-Cycle-Neighbor In SuperHyperGraphs

Eulerian-Cycle-Neighbor In SuperHyperGraphs
Author: Dr. Henry Garrett
Publisher: Dr. Henry Garrett
Total Pages: 602
Release: 2023-04-24
Genre: Mathematics
ISBN:

[ADDRESSED CITATION] [HG167b] Henry Garrett, “Eulerian-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7857906). In this scientific research book, there are some scientific research chapters on “Extreme Eulerian-Type-Path-Neighbor In SuperHyperGraphs ” and “Neutrosophic Eulerian-Type-Path-Neighbor In SuperHyperGraphs ” about some scientific researches on Eulerian-Type-Path-Neighbor In SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Eulerian-Type-Path-Neighbor In SuperHyperGraphs and Neutrosophic Eulerian-Type-Path-Neighbor In SuperHyperGraphs . With scientific researches on the basic properties, the scientific research book starts to make Extreme Eulerian-Type-Path-Neighbor In SuperHyperGraphs theory and Neutrosophic Eulerian-Type-Path-Neighbor In SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 3230 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4117 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and Eulerian-Type-Path-Neighbor In SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf). — — — 256 Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Cycle-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7857841). @ResearchGate: https://www.researchgate.net/publication/370214377 @Scribd: https://www.scribd.com/document/640364974 @ZENODO_ORG: https://zenodo.org/record/7857841 @academia: https://www.academia.edu/100664613 — 256 Henry Garrett | Zenodo 2023, (doi: 10.5281/zenodo.7857841). @facebook : https://www.facebook.com/permalink.php?story_fbid=pfbid08iMYYsQKk7fVdCjhScLTv2JTk6ERXXJ9SBtaKcsNXGqJ79H5UdJiGJAUg5kSSDCjl&id=100090667441909 PAGE @facebook : https://www.facebook.com/permalink.php?story_fbid=pfbid0T7zYr9h5V87m78eTsswzk7NUcPwHUaSUqErCN4FMcZN89ZkRFVnaPMn2cuzbFboHl&id=105165509175944 @LinkedIn : https://www.linkedin.com/feed/update/urn:li:ugcPost:7056162565030055936/ — 257 Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7857856). @ResearchGate: https://www.researchgate.net/publication/370214523 @Scribd: https://www.scribd.com/document/640365864 @ZENODO_ORG: https://zenodo.org/record/7857856 @academia: https://www.academia.edu/100665128 — 257 Henry Garrett | Zenodo 2023, (doi: 10.5281/zenodo.7857856). @facebook : https://www.facebook.com/permalink.php?story_fbid=pfbid02KNUykkJYt8Bc7BEXH865F5YETnRorocET2VHPC7hqELMrSru5pjX1V9Eh3MtECd8l&id=100090667441909 PAGE @facebook : https://www.facebook.com/permalink.php?story_fbid=pfbid0knpZ5z8BJZSsj7TnL2qDfJ2dLtwDFt1PnMnTPVhQFudLmHLkv771E94AXJprBL8Xl&id=105165509175944 @LinkedIn : https://www.linkedin.com/feed/update/urn:li:ugcPost:7056163030832754690/ — — “Book #167” [ADDRESSED CITATION] [HG167b] Henry Garrett, “Eulerian-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7857906). @googlebooks:https://books.google.com/books/about?id=- @GooglePlay:https://play.google.com/store/books/details?id=- @ResearchGate: https://www.researchgate.net/publication/370214594 @WordPress: https://drhenrygarrett.wordpress.com/2023/07/22/Eulerian-Cycle-Neighbor-In-SuperHyperGraphs/ @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/7857906 @academia:https://www.academia.edu/100668822 Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — — — “Book #167” [ADDRESSED CITATION] [HG167b] Henry Garrett, “Eulerian-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7857906). #Link (KE): https://www.amazon.com/dp/- (SC): https://www.amazon.com/dp/- (HC): https://www.amazon.com/dp/- #ISBN CC BY-NC-ND 4.0 - - — Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — There are some scientific researches covering the topic of this research. In what follows, there are some discussion and literature reviews about them. \\ The seminal paper and groundbreaking article is titled ``\textit{Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes}'' in \textbf{Ref.} \cite{HG1} by Henry Garrett (2022). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental SuperHyperNumber and using neutrosophic SuperHyperClasses of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 1 and issue 3 with pages 242-263. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ The seminal paper and groundbreaking article is titled ``\textit{Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments}'' in \textbf{Ref.} \cite{HG2} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental notions and using vital tools in Cancer’s Treatments. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 2 and issue 1 with pages 35-47. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ The seminal paper and groundbreaking article is titled ``\textit{A Research on Cancer's Recognition and Neutrosophic Super Hypergraph by Eulerian Super Hyper Cycles and Hamiltonian Sets as Hyper Covering Versus Super separations}'' in \textbf{Ref.} \cite{HG3} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental notions and using vital tools in Cancer’s Recognition. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 2 and issue 3 with pages 136-148. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ The seminal paper and groundbreaking article is titled ``\textit{neutrosophic co-degree and neutrosophic degree alongside chromatic numbers in the setting of some classes related to neutrosophic hypergraphs}'' in \textbf{Ref.} \cite{HG93} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on general forms without using neutrosophic classes of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “\textit{Journal of Current Trends in Computer Science Research (JCTCSR)}” with ISO abbreviation ``\textit{J Curr Trends Comp Sci Res}'' in volume 2 and issue 1 with pages 16-24. The research article studies deeply with choosing neutrosophic hypergraphs instead of neutrosophic SuperHyperGraph. It's the breakthrough toward independent results based on initial background. In some articles are titled ``\textit{0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph}'' in \textbf{Ref.} \cite{HG4} by Henry Garrett (2022), ``\textit{0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs}'' in \textbf{Ref.} \cite{HG5} by Henry Garrett (2022), ``\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG6} by Henry Garrett (2022), ``\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}'' in \textbf{Ref.} \cite{HG7} by Henry Garrett (2022), ``\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG8} by Henry Garrett (2022), ``\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}'' in \textbf{Ref.} \cite{HG9} by Henry Garrett (2022), ``\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG10} by Henry Garrett (2022), ``\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG11} by Henry Garrett (2022), ``\textit{Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG13} by Henry Garrett (2022), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG14} by Henry Garrett (2022), ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'' in \textbf{Ref.} \cite{HG15} by Henry Garrett (2022), ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs }'' in \textbf{Ref.} \cite{HG16} by Henry Garrett (2022), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG17} by Henry Garrett (2022), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG18} by Henry Garrett (2022),``\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}'' in \textbf{Ref.} \cite{HG19} by Henry Garrett (2022), ``\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}'' in \textbf{Ref.} \cite{HG20} by Henry Garrett (2022), ``\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}'' in \textbf{Ref.} \cite{HG21} by Henry Garrett (2022), ``\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}'' in \textbf{Ref.} \cite{HG22} by Henry Garrett (2022), ``\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}'' in \textbf{Ref.} \cite{HG23} by Henry Garrett (2022), ``\textit{SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG24} by Henry Garrett (2023), ``\textit{The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG25} by Henry Garrett (2023), ``\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG26} by Henry Garrett (2023), ``\textit{Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG27} by Henry Garrett (2023), ``\textit{Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG28} by Henry Garrett (2023), ``\textit{Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique}'' in \textbf{Ref.} \cite{HG29} by Henry Garrett (2023), ``\textit{Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG30} by Henry Garrett (2023), ``\textit{Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG31} by Henry Garrett (2023), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG32} by Henry Garrett (2023), ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG33} by Henry Garrett (2023), ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'' in \textbf{Ref.} \cite{HG34} by Henry Garrett (2022), ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG35} by Henry Garrett (2022), ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG36} by Henry Garrett (2022), ``\textit{Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph}'' in \textbf{Ref.} \cite{HG37} by Henry Garrett (2022), ``\textit{Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)}'' in \textbf{Ref.} \cite{HG38} by Henry Garrett (2022), and \cite{HG4,HG5,HG6,HG7,HG8,HG9,HG10,HG11,HG12,HG13,HG14,HG15,HG16,HG17,HG18,HG19,HG20,HG21,HG22,HG23,HG24,HG25,HG26,HG27,HG28,HG29,HG30,HG31,HG32,HG33,HG34,HG35,HG36,HG37,HG38,HG94,HG942,HG95,HG952,HG96,HG962,HG97,HG972,HG98,HG982,HG106,HG107,HG111,HG112,HG115,HG116,HG120,HG121,HG122,HG123,HG124,HG125,HG126,HG127,HG128,HG129,HG130,HG131,HG132,HG134,HG135,HG136,HG137,HG138,HG139,HG140,HG141,HG142,HG143,HG144,HG145,HG146,HG147,HG148,HG149,HG150,HG151,HG152,HG153,HG154,HG155,HG156,HG157,HG158,HG159,HG160,HG161,HG162,HG163,HG164,HG165,HG166,HG167,HG168,HG169,HG170,HG171,HG172,HG173,HG174,HG175,HG176,HG177,HG178,HG179,HG180,HG181,HG182,HG183,HG184,HG185,HG186,HG187,HG188,HG189,HG190,HG191,HG192,HG193,HG194,HG195,HG196,HG197,HG198,HG199,HG200,HG201,HG202,HG203,HG204,HG205,HG206,HG207,HG208,HG209,HG210,HG211,HG212,HG213,HG214,HG215,HG93,HG217,HG218,HG219,HG220,HG221,HG222,HG223,HG224,HG225,HG226,HG228,HG230,HG231,HG232,HG233,HG234,HG235,HG236,HG237,HG238,HG239,HG240,HG241,HG242,HG243,HG244,HG245,HG246,HG247,HG248,HG249,HG250,HG251,HG252,HG253,HG254,HG255,HG256,HG257}, there are some endeavors to formalize the basic SuperHyperNotions about neutrosophic SuperHyperGraph and SuperHyperGraph alongside scientific research books at \cite{HG60b,HG61b,HG62b,HG63b,HG64b,HG65b,HG66b,HG67b,HG68b,HG69b,HG70b,HG71b,HG72b,HG73b,HG74b,HG75b,HG76b,HG77b,HG78b,HG79b,HG80b,HG81b,HG82b,HG83b,HG84b,HG85b,HG86b,HG87b,HG88b,HG89b,HG90b,HG91b,HG92b,HG93b,HG94b,HG95b,HG96b,HG97b,HG98b,HG99b,HG100b,HG101b,HG102b,HG103b,HG104b,HG105b,HG106b,HG107b,HG108b,HG109b,HG110b,HG111b,HG112b,HG113b,HG114b,HG115b,HG116b,HG117b,HG118b,HG119b,HG120b,HG121b,HG122b,HG123b,HG124b,HG125b,HG126b,HG127b,HG128b,HG129b,HG130b,HG131b,HG132b,HG133b,HG134b,HG135b,HG136b,HG137b,HG138b,HG139b,HG140b,HG141b,HG142b,HG143b,HG144b,HG145b,HG146b,HG147b,HG148b,HG149b,HG150b,HG151b,HG152b,HG153b,HG154b,HG155b,HG156b,HG157b,HG158b,HG159b,HG160b,HG161b,HG162b,HG163b,HG164b,HG165b,HG166b,HG167b}. Two popular scientific research books in Scribd in the terms of high readers, 4190 and 5189 respectively, on neutrosophic science is on \cite{HG32b,HG44b}. \\ Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG71b} by Henry Garrett (2023) which is indexed by Google Scholar and has more than 4331 readers in Scribd. It's titled ``\textit{Beyond Neutrosophic Graphs}'' and published by Dr. Henry Garrett. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. \\ Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG70b} by Henry Garrett (2023) which is indexed by Google Scholar and has more than 5327 readers in Scribd. It's titled ``\textit{Neutrosophic Duality}'' and published by Dr. Henry Garrett. This research book presents different types of notions SuperHyperResolving and SuperHyperDominating in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It's smart to consider a set but acting on its complement that what's done in this research book which is popular in the terms of high readers in Scribd. \\ See the seminal scientific researches \cite{HG1,HG2,HG3}. The formalization of the notions on the framework of notions in SuperHyperGraphs, Neutrosophic notions in SuperHyperGraphs theory, and (Neutrosophic) SuperHyperGraphs theory at \cite{HG4,HG5,HG6,HG7,HG8,HG9,HG10,HG11,HG12,HG13,HG14,HG15,HG16,HG17,HG18,HG19,HG20,HG21,HG22,HG23,HG24,HG25,HG26,HG27,HG28,HG29,HG30,HG31,HG32,HG33,HG34,HG35,HG36,HG37,HG38,HG94,HG942,HG95,HG952,HG96,HG962,HG97,HG972,HG98,HG982,HG106,HG107,HG111,HG112,HG115,HG116,HG120,HG121,HG122,HG123,HG124,HG125,HG126,HG127,HG128,HG129,HG130,HG131,HG132,HG134,HG135,HG136,HG137,HG138,HG139,HG140,HG141,HG142,HG143,HG144,HG145,HG146,HG147,HG148,HG149,HG150,HG151,HG152,HG153,HG154,HG155,HG156,HG157,HG158,HG159,HG160,HG161,HG162,HG163,HG164,HG165,HG166,HG167,HG168,HG169,HG170,HG171,HG172,HG173,HG174,HG175,HG176,HG177,HG178,HG179,HG180,HG181,HG182,HG183,HG184,HG185,HG186,HG187,HG188,HG189,HG190,HG191,HG192,HG193,HG194,HG195,HG196,HG197,HG198,HG199,HG200,HG201,HG202,HG203,HG204,HG205,HG206,HG207,HG208,HG209,HG210,HG211,HG212,HG213,HG214,HG215,HG93,HG217,HG218,HG219,HG220,HG221,HG222,HG223,HG224,HG225,HG226,HG228,HG230,HG231,HG232,HG233,HG234,HG235,HG236,HG237,HG238,HG239,HG240,HG241,HG242,HG243,HG244,HG245,HG246,HG247,HG248,HG249,HG250,HG251,HG252,HG253,HG254,HG255,HG256,HG257} alongside scientific research books at \cite{HG60b,HG61b,HG62b,HG63b,HG64b,HG65b,HG66b,HG67b,HG68b,HG69b,HG70b,HG71b,HG72b,HG73b,HG74b,HG75b,HG76b,HG77b,HG78b,HG79b,HG80b,HG81b,HG82b,HG83b,HG84b,HG85b,HG86b,HG87b,HG88b,HG89b,HG90b,HG91b,HG92b,HG93b,HG94b,HG95b,HG96b,HG97b,HG98b,HG99b,HG100b,HG101b,HG102b,HG103b,HG104b,HG105b,HG106b,HG107b,HG108b,HG109b,HG110b,HG111b,HG112b,HG113b,HG114b,HG115b,HG116b,HG117b,HG118b,HG119b,HG120b,HG121b,HG122b,HG123b,HG124b,HG125b,HG126b,HG127b,HG128b,HG129b,HG130b,HG131b,HG132b,HG133b,HG134b,HG135b,HG136b,HG137b,HG138b,HG139b,HG140b,HG141b,HG142b,HG143b,HG144b,HG145b,HG146b,HG147b,HG148b,HG149b,HG150b,HG151b,HG152b,HG153b,HG154b,HG155b,HG156b,HG157b,HG158b,HG159b,HG160b,HG161b,HG162b,HG163b,HG164b,HG165b,HG166b,HG167b}. Two popular scientific research books in Scribd in the terms of high readers, 4331 and 5327 respectively, on neutrosophic science is on \cite{HG32b,HG44b}. \begin{thebibliography}{595} \bibitem{HG1} Henry Garrett, “\textit{Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes}”, J Math Techniques Comput Math 1(3) (2022) 242-263. (doi: 10.33140/JMTCM.01.03.09) \bibitem{HG2} Henry Garrett, “\textit{Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments}”, J Math Techniques Comput Math 2(1) (2023) 35-47. (https://www.opastpublishers.com/open-access-articles/some-super-hyper-degrees-and-cosuper-hyper-degrees-on-neutrosophic-super-hyper-graphs-and-super-hyper-graphs-alongside-a.pdf) \bibitem{HG3} Henry Garrett, “\textit{A Research on Cancer's Recognition and Neutrosophic Super Hypergraph by Eulerian Super Hyper Cycles and Hamiltonian Sets as Hyper Covering Versus Super separations}”, J Math Techniques Comput Math 2(3) (2023) 136-148. (https://www.opastpublishers.com/open-access-articles/a-research-on-cancers-recognition-and-neutrosophic-super-hypergraph-by-eulerian-super-hyper-cycles-and-hamiltonian-sets-.pdf) \bibitem{HG93} Henry Garrett, ``\textit{Neutrosophic Co-degree and Neutrosophic Degree alongside Chromatic Numbers in the Setting of Some Classes Related to Neutrosophic Hypergraphs}'', J Curr Trends Comp Sci Res 2(1) (2023) 16-24. (https://www.opastpublishers.com/open-access-articles/neutrosophic-codegree-and-neutrosophic-degree-alongside-chromatic-numbers-in-the-setting-of-some-classes-related-to-neut.pdf) \bibitem{HG4} Garrett, Henry. ``\textit{0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph.}'' CERN European Organization for Nuclear Research - Zenodo, Nov. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.5281/zenodo.6319942. https://oa.mg/work/10.5281/zenodo.6319942 \bibitem{HG5} Garrett, Henry. ``\textit{0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs.}'' CERN European Organization for Nuclear Research - Zenodo, Feb. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.13140/rg.2.2.35241.26724. https://oa.mg/work/10.13140/rg.2.2.35241.26724 \bibitem{HG6} Henry Garrett, ``\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1). \bibitem{HG7} Henry Garrett, ``\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}'', Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1). \bibitem{HG8} Henry Garrett, ``\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1). \bibitem{HG9} Henry Garrett, ``\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}'', Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1). \bibitem{HG10} Henry Garrett, ``\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1). \bibitem{HG11} Henry Garrett, ``\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1). \bibitem{HG12} Henry Garrett, ``\textit{Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1). \bibitem{HG13} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG14} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG15} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', Preprints 2023, 2023010044 \bibitem{HG16} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1). \bibitem{HG17} Henry Garrett, \textit{``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}''}, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG18} Henry Garrett, \textit{``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}''}, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG19} Henry Garrett, \textit{``\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}''}, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1). \bibitem{HG20} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}'', Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1). \bibitem{HG21} Henry Garrett, ``\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}'', Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1). \bibitem{HG22} Henry Garrett, ``\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}'', Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1). \bibitem{HG23} Henry Garrett, ``\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}'', Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1). \bibitem{HG257} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7857856). \bibitem{HG256} Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Cycle-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7857841). \bibitem{HG255} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi: 10.5281/zenodo.7855661). \bibitem{HG254} Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Cycle-Decomposition In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7855637). \bibitem{HG253} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Cut As Hyper Eulogy On Super EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7853867). \bibitem{HG252} Henry Garrett, “\textit{New Ideas On Super EULA By Hyper Eulogy Of Eulerian-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7853922). \bibitem{HG251} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Path-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7851519). \bibitem{HG250} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Type-Path-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7851550). \bibitem{HG249} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Path-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7839333). \bibitem{HG248} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Type-Path-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7840206). \bibitem{HG247} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Path-Cut As Hyper Eulogy On Super EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7834229). \bibitem{HG246} Henry Garrett, “\textit{New Ideas On Super EULA By Hyper Eulogy Of Eulerian-Type-Path-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7834261). \bibitem{HG245} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7824560). \bibitem{HG244} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Path-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7824623). \bibitem{HG243} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7819531). \bibitem{HG242} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Path-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7819579). \bibitem{HG241} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph As Hyper Tool On Super Toot}”, Zenodo 2023, (doi: 10.5281/zenodo.7812236). \bibitem{HG240} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By initial Eulerian-Path-Cut As Hyper initial Eulogy On Super initial EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7809365). \bibitem{HG239} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Cut As Hyper Eulogy-Path-Cut On Super EULA-Path-Cut}”, Zenodo 2023, (doi: 10.5281/zenodo.7809358). \bibitem{HG238} Henry Garrett, “\textit{New Ideas On Super EULA By Hyper Eulogy Of Eulerian-Path-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7809219). \bibitem{HG237} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Cut As Hyper Eulogy On Super EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7809328). \bibitem{HG236} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7806767). \bibitem{HG235} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Hamiltonian-Type-Cycle-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7806838). \bibitem{HG234} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7804238). \bibitem{HG233} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Hamiltonian-Type-Cycle-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7804228). \bibitem{HG232} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Cut As Hyper Hamper On Super Hammy}”, Zenodo 2023, (doi: 10.5281/zenodo.7799902). \bibitem{HG231} Henry Garrett, “\textit{New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Type-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7804218). \bibitem{HG230} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7796334). \bibitem{HG228} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7793372). \bibitem{HG226} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Cut As Hyper Hamper On Super Hammy}”, Zenodo 2023, (doi: 10.5281/zenodo.7791952). \bibitem{HG225} Henry Garrett, “\textit{New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7791982). \bibitem{HG224} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7790026). \bibitem{HG223} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Hamiltonian-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7790052). \bibitem{HG222} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7787066). \bibitem{HG221} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Hamiltonian-Decomposition In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7787094). \bibitem{HG220} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cut As Hyper Hamper On Super Hammy}”, Zenodo 2023, (doi: 10.5281/zenodo.7781476). \bibitem{HG219} Henry Garrett, “\textit{New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7783082). \bibitem{HG218} Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Trace-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7777857). \bibitem{HG217} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Trace-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7779286). \bibitem{HG215} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7771831). \bibitem{HG214} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Trace-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7772468). \bibitem{HG213} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Cut As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.20913.25446). \bibitem{HG212} Henry Garrett, “\textit{New Ideas On Super Tract By Hyper Track Of Trace-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7764916). \bibitem{HG211} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Neighbor As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11770.98247). \bibitem{HG210} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Edge-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.12400.12808). \bibitem{HG209} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Decomposition As Hyper Decompress On Super Decompensation}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22545.10089). \bibitem{HG208} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Edge-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29544.34564). \bibitem{HG207} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Cut As Hyper Edify On Super Eddy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11377.76644). \bibitem{HG206} Henry Garrett, “\textit{New Ideas On Super Eddy By Hyper Edify Of Edge-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23750.96329). \bibitem{HG205} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Neighbor As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31366.24641). \bibitem{HG204} Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Vertex-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34721.68960). \bibitem{HG203} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Decomposition As Hyper Decompress On Super Decompensation}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30212.81289). \bibitem{HG202} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Vertex-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18468.76169). \bibitem{HG201} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Cut As Hyper Vertu On Super Vertigo}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.24288.35842). \bibitem{HG200} Henry Garrett, “\textit{New Ideas On Super Vertigo By Hyper Vertu Of Vertex-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32467.25124). \bibitem{HG199} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Neighbor As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31025.45925). \bibitem{HG198} Henry Garrett, “\textit{New Ideas On Super Nebulizer By Hyper Nub Of Stable-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17184.25602). \bibitem{HG197} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Decompositions As Hyper Stain On Super Stagy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23423.28327). \bibitem{HG196} Henry Garrett, “\textit{New Ideas On Super Stale By Hyper Stalk Of Stable-Decompositions In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.28456.44805). \bibitem{HG195} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Cut As Hyper Stain On Super Stagy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23525.68320). \bibitem{HG194} Henry Garrett, “\textit{New Ideas On Super Stale By Hyper Stalk Of Stable-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.20170.24000). \bibitem{HG193} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Clique-Neighbors As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.36475.59683). \bibitem{HG192} Henry Garrett, “\textit{New Ideas On Super Nebulizer By Hyper Nub Of Clique-Neighbors In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29764.71046). \bibitem{HG191} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Clique-Decompositions As Hyper Decompile On Super Decommission}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18780.87683). \bibitem{HG190} Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Clique- Decompositions In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.27169.48487). \bibitem{HG189} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Clique-Cut As Hyper Click On Super Cliche}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.26134.01603). \bibitem{HG188} Henry Garrett, “\textit{New Ideas On Super Cliff By Hyper Cling Of Clique-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.27392.30721). \bibitem{HG187} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Space As Hyper Spin On Super Spacy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33028.40321). \bibitem{HG186} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By List- Coloring As Hyper List On Super Lisle}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21389.20966). \bibitem{HG185} Henry Garrett, “\textit{New Ideas On Super Lith By Hyper Lite Of List-Coloring In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.16356.04489). \bibitem{HG184} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Space As Hyper Sparse On Super Spark}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21756.21129). \bibitem{HG183} Henry Garrett, “\textit{New Ideas On Super Solidarity By Hyper Soul Of Space In Cancer's Recognition With (Extreme) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30983.68009). \bibitem{HG182} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Connectivity As Hyper Disclosure On Super Closure}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.28552.29445). \bibitem{HG181} Henry Garrett, “\textit{New Ideas On Super Uniform By Hyper Deformation Of Edge-Connectivity In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.10936.21761). \bibitem{HG180} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Connectivity As Hyper Leak On Super Structure}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35105.89447). \bibitem{HG179} Henry Garrett, “\textit{New Ideas On Super System By Hyper Explosions Of Vertex-Connectivity In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30072.72960). \bibitem{HG178} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Tree-Decomposition As Hyper Forward On Super Returns}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31147.52003). \bibitem{HG177} Henry Garrett, “\textit{New Ideas On Super Nodes By Hyper Moves Of Tree-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32825.24163). \bibitem{HG176} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Chord As Hyper Excellence On Super Excess}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13059.58401). \bibitem{HG175} Henry Garrett, “\textit{New Ideas On Super Gap By Hyper Navigations Of Chord In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11172.14720). \bibitem{HG174} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyper(i,j)-Domination As Hyper Controller On Super Waves}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22011.80165). \bibitem{HG173} Henry Garrett, “\textit{New Ideas On Super Coincidence By Hyper Routes Of SuperHyper(i,j)-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30819.84003). \bibitem{HG172} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperEdge-Domination As Hyper Reversion On Super Indirection}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.10493.84962). \bibitem{HG171} Henry Garrett, “\textit{New Ideas On Super Obstacles By Hyper Model Of SuperHyperEdge-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13849.29280). \bibitem{HG170} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Domination As Hyper k-Actions On Super Patterns}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19944.14086). \bibitem{HG169} Henry Garrett, “\textit{New Ideas On Super Harmony By Hyper k-Function Of SuperHyperK-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23299.58404). \bibitem{HG168} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Number As Hyper k-Partition On Super Layers}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33103.76968). \bibitem{HG167} Henry Garrett, “\textit{New Ideas On Super Gradient By Hyper k-Class Of SuperHyperK-Number In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23037.44003). \bibitem{HG166} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperOrder As Hyper Enumerations On Super Landmarks}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35646.56641). \bibitem{HG165} Henry Garrett, “\textit{New Ideas On Super Analogous By Hyper Visions Of SuperHyperOrder In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18030.48967). \bibitem{HG164} Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperColoring As Hyper Categories On Super Neighbors}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13973.81121). \bibitem{HG163} Henry Garrett, “\textit{New Ideas On Super Relations By Hyper Identifications Of SuperHyperColoring In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34106.47047). \bibitem{HG162} Henry Garrett, “\textit{New Ideas On Super Contradiction By Hyper Detection of SuperHyperDefensive In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13397.09446). \bibitem{HG161} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperDimension As Hyper Distinguishing On Super Distances}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31956.88961). \bibitem{HG160} Henry Garrett, “\textit{New Ideas On Super Locations By Hyper Differing Of SuperHyperDimension In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.15179.67361). \bibitem{HG159} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperDominating As Hyper Closing On Super Messy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21510.45125). \bibitem{HG158} Henry Garrett, “\textit{New Ideas On Super Missing By Hyper Searching Of SuperHyperDominating In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13121.84321). \bibitem{HG157} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperConnected As Hyper Group On Super Surge}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11758.69441). \bibitem{HG156} Henry Garrett, “\textit{New Ideas On Super Outbreak By Hyper Collections Of SuperHyperConnected In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31891.35367). \bibitem{HG155} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperTotal As Hyper Covering On Super Infections}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19360.87048). \bibitem{HG154} Henry Garrett, “\textit{New Ideas On Super Extremism By Hyper Treatments Of SuperHyperTotal In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32363.21286). \bibitem{HG153} Henry Garrett, “\textit{New Ideas On Super Isolation By Hyper Perfectness Of SuperHyperPerfect In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23266.81602). \bibitem{HG152} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperPerfect As Hyper Idealism On Super Vacancy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19911.37285). \bibitem{HG151} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperJoin As Hyper Separations On Super Sorts}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11050.90569). \bibitem{HG150} Henry Garrett, “\textit{New Ideas On Super connections By Hyper disconnections Of SuperHyperJoin In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17761.79206). \bibitem{HG149} Henry Garrett, “\textit{New Ideas On Super Mixed-Devastations By Hyper Decisions Of SuperHyperDuality In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34953.52320). \bibitem{HG148} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By SuperHyperDuality As Hyper Imaginations On Super Mixed-Illustrations}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33275.80161). \bibitem{HG147} Henry Garrett, “\textit{New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By Path SuperHyperColoring As Hyper Correction On Super Faults}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30182.50241). \bibitem{HG146} Henry Garrett, “\textit{New Ideas On Super Reflections By Hyper Rotations Of Path SuperHyperColoring In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33459.30243). \bibitem{HG145} Henry Garrett, “\textit{New Ideas As Hyper Deformations On Super Chains In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph By SuperHyperDensity}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13444.60806). \bibitem{HG144} Henry Garrett, “\textit{New Ideas As Hyper Ignorance By SuperHyperDensity On Super Resistances In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi:10.13140/RG.2.2.16800.05123). \bibitem{HG143} Henry Garrett, “\textit{New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-VI}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29913.80482). \bibitem{HG142} Henry Garrett, “\textit{New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-V}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33269.24809). \bibitem{HG141} Henry Garrett, “\textit{New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-IV}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34946.96960). \bibitem{HG140} Henry Garrett, “\textit{A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-III}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.14814.31040). \bibitem{HG139} Henry Garrett, “\textit{A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-II}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.15653.17125). \bibitem{HG138} Henry Garrett, “\textit{A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-I}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.25719.50089). \bibitem{HG137} Henry Garrett, “\textit{New Ideas On Super Disruptions In Cancer’s Extreme Recognition As Neutrosophic SuperHyperGraph By Hyper Plans Called SuperHyperConnectivities}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29441.94562). \bibitem{HG136} Henry Garrett, “\textit{Cancer’s Neutrosophic Recognition As Neutrosophic SuperHyperGraph By SuperHyperConnectivities As Hyper Diagnosis On Super Mechanism}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17252.24968). \bibitem{HG135} Henry Garrett,“\textit{Cancer’s Recognition and (Neutrosophic) SuperHyperGraph By the Criteria of Eulerian and Hamiltonian Type-Sets As Hyper Modified Cycles On Super Mess}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.16652.59525). \bibitem{HG134} Henry Garrett,“\textit{Eulerian and Hamiltonian In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph On Super Interactions By Hyper Extensions of Cycles}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.34583.24485). \bibitem{HG132} Henry Garrett,“\textit{SuperHyperGirth Type-Results on extreme SuperHyperGirth theory and (Neutrosophic) SuperHyperGraphs Toward Cancer’s extreme Recognition}”, Preprints 2023, 2023010396 (doi: 10.20944/preprints202301.0396.v1). \bibitem{HG131} Henry Garrett,“\textit{Neutrosophic SuperHyperGraphs Warns Hyper Landmark of neutrosophic SuperHyperGirth In Super Type-Versions of Cancer’s neutrosophic Recognition}”, Preprints 2023, 2023010395 (doi: 10.20944/preprints202301.0395.v1). \bibitem{HG130} Henry Garrett,“\textit{The Constructions of (Neutrosophic) SuperHyperGraphs on the Cancer’s Recognition in The Confrontation With Super Attacks In Hyper Situations By Implementing (Neutrosophic) 1-Failed SuperHyperForcing in The Technical Approaches to Neutralize SuperHyperViews}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.26240.51204). \bibitem{HG129} Henry Garrett,“\textit{(Neutrosophic) 1-Failed SuperHyperForcing As the Entrepreneurs on Cancer’s Recognitions To Fail Forcing Style As the Super Classes With Hyper Effects In The Background of the Framework is So-Called (Neutrosophic) SuperHyperGraphs}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.12818.73925). \bibitem{HG128} Henry Garrett,“\textit{Super Actions On The Types of Hyper Levels In The Sensible Neutrosophic SuperHyperGirth On Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.26836.88960). \bibitem{HG127} Henry Garrett,“\textit{SuperHyperGirth Approaches on the Super Challenges on the Cancer’s Recognition In the Hyper Model of (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.36745.93289). \bibitem{HG126} Henry Garrett,“\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1). \bibitem{HG125} Henry Garrett,“\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}”, Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1). \bibitem{HG124} Henry Garrett,“\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}”, Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1).). \bibitem{HG123} Henry Garrett, “\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}”, Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1). \bibitem{HG122} Henry Garrett,“\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1). \bibitem{HG121} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}”, Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1). \bibitem{HG120} Henry Garrett, “\textit{Extremism of the Attacked Body Under the Cancer’s Circumstances Where Cancer’s Recognition Titled (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1). \bibitem{HG24} Henry Garrett,``\textit{SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs}'', ResearchGate 2023,(doi: 10.13140/RG.2.2.35061.65767). \bibitem{HG25} Henry Garrett,``\textit{The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.18494.15680). \bibitem{HG26} Henry Garrett,``\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922). \bibitem{HG27} Henry Garrett,``\textit{Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.15897.70243). \bibitem{HG116} Henry Garrett,“\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer’s Recognition in the Perfect Connections of Cancer’s Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922). \bibitem{HG115} Henry Garrett, “\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG28} Henry Garrett,``\textit{Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.30092.80004). \bibitem{HG29} Henry Garrett,``\textit{Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.23172.19849). \bibitem{HG112} Henry Garrett, “\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG111} Henry Garrett, “\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}”, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG30} Henry Garrett,``\textit{Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.17385.36968). \bibitem{HG107} Henry Garrett, “\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}”, Preprints 2023, 2023010044 \bibitem{HG106} Henry Garrett, “\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1). \bibitem{HG31} Henry Garrett, ``\textit{Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.28945.92007). \bibitem{HG32} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.11447.80803). \bibitem{HG33} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.35774.77123). \bibitem{HG34} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.36141.77287). \bibitem{HG35} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.29430.88642). \bibitem{HG36} Henry Garrett, ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.11369.16487). \bibitem{HG982} Henry Garrett, “\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}”, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1). \bibitem{HG98} Henry Garrett, “\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}”, ResearchGate 2022, (doi: 10.13140/RG.2.2.19380.94084). \bibitem{HG972} Henry Garrett, “\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}”, Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1). \bibitem{HG97} Henry Garrett, “\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}”, ResearchGate 2022, (doi: 10.13140/RG.2.2.14426.41923). \bibitem{HG962} Henry Garrett, “\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}”, Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1). \bibitem{HG96} Henry Garrett, “\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}”, ResearchGate 2022 (doi: 10.13140/RG.2.2.20993.12640). \bibitem{HG952} Henry Garrett,“\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}”, Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1). \bibitem{HG95} Henry Garrett, “\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs And SuperHyperGraphs Alongside Applications in Cancer’s Treatments}”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23123.04641). \bibitem{HG942} Henry Garrett, “\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}”, Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1). \bibitem{HG94} Henry Garrett, “\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23324.56966). \bibitem{HG37} Henry Garrett, \textit{``\textit{Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph}''}, ResearchGate 2022 (doi: 10.13140/RG.2.2.29173.86244). \bibitem{HG38} Henry Garrett, ``\textit{Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)}'', ResearchGate 2022 (doi: 10.13140/RG.2.2.25385.88160). \bibitem{HG167b} Henry Garrett, “Eulerian-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7857906). \bibitem{HG166b} Henry Garrett, “Eulerian-Cycle-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7856329). \bibitem{HG165b} Henry Garrett, “\textit{Eulerian-Cycle-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7854561). \bibitem{HG164b} Henry Garrett, “\textit{Eulerian-Type-Path-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7851893). \bibitem{HG163b} Henry Garrett, “\textit{Eulerian-Type-Path-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7848019). \bibitem{HG162b} Henry Garrett, “\textit{Eulerian-Type-Path-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7835063). \bibitem{HG161b} Henry Garrett, “\textit{Eulerian-Path-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7826705). \bibitem{HG160b} Henry Garrett, “\textit{Eulerian-Path-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7820680). \bibitem{HG159b} Henry Garrett, “\textit{Eulerian-Path-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7812750). \bibitem{HG158b} Henry Garrett, “\textit{Hamiltonian-Type-Cycle-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7812142). \bibitem{HG157b} Henry Garrett, “\textit{Hamiltonian-Type-Cycle-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7810394). \bibitem{HG156b} Henry Garrett, “\textit{Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7807782). \bibitem{HG155b} Henry Garrett, “\textit{Hamiltonian-Cycle-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7804449). \bibitem{HG154b} Henry Garrett, “\textit{Hamiltonian-Cycle-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7793875). \bibitem{HG153b} Henry Garrett, “\textit{Hamiltonian-Cycle-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7792307). \bibitem{HG152b} Henry Garrett, “\textit{Hamiltonian-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7790728). \bibitem{HG151b} Henry Garrett, “\textit{Hamiltonian-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7787712). \bibitem{HG150b} Henry Garrett, “\textit{Hamiltonian-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7783791). \bibitem{HG149b} Henry Garrett, “\textit{Trace-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7780123). \bibitem{HG148b} Henry Garrett, “\textit{Trace-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7773119). \bibitem{HG147b} Henry Garrett, “\textit{SuperHyperDuality}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7637762). \bibitem{HG146b} Henry Garrett, “\textit{Trace-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7766174). \bibitem{HG145b}Henry Garrett, “\textit{Edge-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7762232). \bibitem{HG144b} Henry Garrett, “\textit{Edge-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7758601). \bibitem{HG143b} Henry Garrett, “\textit{Edge-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7754661). \bibitem{HG142b} Henry Garrett, “\textit{Vertex-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7750995) . \bibitem{HG141b} Henry Garrett, “\textit{Vertex-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7749875). \bibitem{HG140b} Henry Garrett, “\textit{Vertex-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7747236). \bibitem{HG139b} Henry Garrett, “\textit{Stable-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7742587). \bibitem{HG138b} Henry Garrett, “\textit{Stable-Decompositions In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7738635). \bibitem{HG137b} Henry Garrett, “\textit{Stable-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7734719). \bibitem{HG136b} Henry Garrett, “\textit{Clique-Neighbors In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7730484). \bibitem{HG135b} Henry Garrett, “\textit{Clique-Decompositions In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7730469). \bibitem{HG134b} Henry Garrett, “\textit{Clique-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7722865). \bibitem{HG133b} Henry Garrett, “\textit{Space In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7713563). \bibitem{HG132b} Henry Garrett, “\textit{Space In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7709116). \bibitem{HG131b} Henry Garrett, “\textit{Edge-Connectivity In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7706415). \bibitem{HG130b} Henry Garrett, “\textit{Vertex-Connectivity In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7706063). \bibitem{HG129b} Henry Garrett, “\textit{Tree-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7701906). \bibitem{HG128b} Henry Garrett, “\textit{Chord In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7700205). \bibitem{HG127b} Henry Garrett, “\textit{(i,j)-Domination In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7694876). \bibitem{HG126b} Henry Garrett, “\textit{Edge-Domination In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7679410). \bibitem{HG125b} Henry Garrett, “\textit{K-Domination In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7675982). \bibitem{HG124b} Henry Garrett, “\textit{K-Number In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7672388). \bibitem{HG123b} Henry Garrett, “\textit{Order In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7668648). \bibitem{HG122b} Henry Garrett, “\textit{Coloring In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7662810). \bibitem{HG121b} Henry Garrett, “\textit{Dimension In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7659162). \bibitem{HG120b} Henry Garrett, “\textit{Cancer In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653233). \bibitem{HG119b} Henry Garrett, “\textit{SuperHyperWheel}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653204). \bibitem{HG118b} Henry Garrett, “\textit{SuperHyperMultipartite}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653142). \bibitem{HG117b} Henry Garrett, “\textit{SuperHyperBipartite}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653117). \bibitem{HG116b} Henry Garrett, “\textit{SuperHyperStar}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653089). \bibitem{HG115b} Henry Garrett, “\textit{SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651687). \bibitem{HG114b} Henry Garrett, “\textit{SuperHyperPath}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651619). \bibitem{HG113b} Henry Garrett, “\textit{SuperHyperDomination}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651439). \bibitem{HG112b} Henry Garrett, “\textit{SuperHyperDominating}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7650729). \bibitem{HG111b} Henry Garrett, “\textit{SuperHyperConnected}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7647868). \bibitem{HG110b} Henry Garrett, “\textit{SuperHyperTotal}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7647017). \bibitem{HG109b} Henry Garrett, “\textit{SuperHyperPerfect}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7644894). \bibitem{HG108b} Henry Garrett, “\textit{SuperHyperJoin}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7641880). \bibitem{HG107b} Henry Garrett, “\textit{Path SuperHyperColoring}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7632923). \bibitem{HG106b} Henry Garrett, “\textit{SuperHyperDensity}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7623459). \bibitem{HG105b} Henry Garrett, “\textit{Neutrosophic SuperHyperConnectivities}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606416). \bibitem{HG104b} Henry Garrett, “\textit{Extreme SuperHyperConnectivities}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606416). \bibitem{HG103b} Henry Garrett, “\textit{SuperHyperConnectivities}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606404). \bibitem{HG102b} Henry Garrett, “\textit{Neutrosophic SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018). \bibitem{HG101b} Henry Garrett, “\textit{Extreme SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018). \bibitem{HG100b} Henry Garrett, “\textit{Extreme SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018). \bibitem{HG99b} Henry Garrett, “\textit{SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7579929). \bibitem{HG98b} Henry Garrett, “\textit{Neutrosophic SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563170). \bibitem{HG97b} Henry Garrett, “\textit{Extreme SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563164). \bibitem{HG96b} Henry Garrett, “\textit{SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160). \bibitem{HG95b} Henry Garrett, “\textit{Extreme SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160). \bibitem{HG94b} Henry Garrett, “\textit{Overlook On SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160). \bibitem{HG93b} Henry Garrett, “\textit{Neutrosophic SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7557063). \bibitem{HG92b} Henry Garrett, “\textit{Extreme SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7557009). \bibitem{HG91b} Henry Garrett, “\textit{Overlook On SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7539484). \bibitem{HG90b} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG89b} Henry Garrett, “\textit{Extreme Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG88b} Henry Garrett, “\textit{Overlook On Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG87b} Henry Garrett, “\textit{Extreme SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7574952). \bibitem{HG86b} Henry Garrett, “\textit{Neutrosophic SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7574992). \bibitem{HG85b} Henry Garrett, “\textit{Extreme SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357). \bibitem{HG84b} Henry Garrett, “\textit{Overlook On SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357). \bibitem{HG83b} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG82b} Henry Garrett, “\textit{Extreme Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG81b} Henry Garrett, “\textit{Overlook On Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG80b} Henry Garrett, “\textit{Neutrosophic SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG79b} Henry Garrett, “\textit{Extreme SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG78b} Henry Garrett, “\textit{Overlook On SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG77b} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450). \bibitem{HG76b} Henry Garrett, “\textit{Extreme Failed SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450). \bibitem{HG75b} Henry Garrett, “\textit{Neutrosophic SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG74b} Henry Garrett, “\textit{Extreme SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG73b} Henry Garrett, “\textit{Overlook On SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG72b} Henry Garrett, “\textit{Neutrosophic SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG71b} Henry Garrett, “\textit{Extreme SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG70b} Henry Garrett, “\textit{Overlook On SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG69b} Henry Garrett, “\textit{SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7539484). \bibitem{HG68b} Henry Garrett, “\textit{Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG67b} Henry Garrett, “\textit{SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357). \bibitem{HG66b} Henry Garrett, “\textit{Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG65b} Henry Garrett, “\textit{SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG64b} Henry Garrett, “\textit{Failed SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450). \bibitem{HG63b} Henry Garrett, “\textit{SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG62b} Henry Garrett, “\textit{SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG61b} Henry Garrett, “\textit{SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7480110). \bibitem{HG60b} Henry Garrett, “\textit{Neut. SuperHyperEdges}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7378758). \bibitem{HG32b} Henry Garrett, “\textit{Beyond Neutrosophic Graphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.6320305). \bibitem{HG44b} Henry Garrett, “\textit{Neutrosophic Duality}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.6677173). \end{thebibliography} [ADDRESSED CITATION] [HG167b] Henry Garrett, “Eulerian-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7857906). In this scientific research book, there are some scientific research chapters on “Extreme Eulerian-Type-Path-Neighbor In SuperHyperGraphs” and “Neutrosophic Eulerian-Type-Path-Neighbor In SuperHyperGraphs” about some scientific researches on Eulerian-Type-Path-Neighbor In SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Eulerian-Type-Path-Neighbor In SuperHyperGraphs and Neutrosophic Eulerian-Type-Path-Neighbor In SuperHyperGraphs. With scientific research on the basic scientific research properties, the scientific research book starts to make Extreme Eulerian-Type-Path-Neighbor In SuperHyperGraphs theory and Neutrosophic Eulerian-Type-Path-Neighbor In SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4048 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 5046 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and Eulerian-Type-Path-Neighbor In SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf).

Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs

Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs
Author: Dr. Henry Garrett
Publisher: Dr. Henry Garrett
Total Pages: 578
Release: 2023-04-07
Genre: Mathematics
ISBN:

[ADDRESSED CITATION] [HG156b] Henry Garrett, “Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7807782). In this scientific research book, there are some scientific research chapters on “Extreme Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs ” and “Neutrosophic Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs ” about some scientific researches on Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs and Neutrosophic Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs . With scientific researches on the basic properties, the scientific research book starts to make Extreme Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs theory and Neutrosophic Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 3230 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4117 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf). — — — “#231 Article” Henry Garrett, “New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Type-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7804218). @ResearchGate: https://www.researchgate.net/publication/369825403 @Scribd: https://www.scribd.com/document/636440183 @ZENODO_ORG: https://zenodo.org/record/7804218 @academia: https://www.academia.edu/99744710 Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — “#232 Article” Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Cut As Hyper Hamper On Super Hammy”, Zenodo 2023, (doi: 10.5281/zenodo.7799902). @ResearchGate: https://www.researchgate.net/publication/369787658 @Scribd: https://www.scribd.com/document/636114181 @ZENODO_ORG: https://zenodo.org/record/7799902 @academia: https://www.academia.edu/99665864 Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle -- “Book #156” [ADDRESSED CITATION] [HG156b] Henry Garrett, “Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7807782). @googlebooks:https://books.google.com/books/about?id=- @GooglePlay:https://play.google.com/store/books/details?id=- @ResearchGate: https://www.researchgate.net/publication/369857622 @WordPress: https://drhenrygarrett.wordpress.com/2023/04/22/Hamiltonian-Type-Cycle-Cut-In-SuperHyperGraphs/ @Scribd: https://www.scribd.com/document/636653594 @ZENODO_ORG: https://zenodo.org/record/7807782 @academia:https://www.academia.edu/99803953 Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — — “Book #156” [ADDRESSED CITATION] [HG156b] Henry Garrett, “Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7807782). #Link (KE): https://www.amazon.com/dp/- (SC): https://www.amazon.com/dp/- (HC): https://www.amazon.com/dp/- #ISBN CC BY-NC-ND 4.0 - - — Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle There are some scientific researches covering the topic of this research. In what follows, there are some discussion and literature reviews about them. \\ The seminal paper and groundbreaking article is titled ``neutrosophic co-degree and neutrosophic degree alongside chromatic numbers in the setting of some classes related to neutrosophic hypergraphs'' in \textbf{Ref.} \cite{HG1} by Henry Garrett (2022). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on general forms without using neutrosophic classes of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “Journal of Current Trends in Computer Science Research (JCTCSR)” with ISO abbreviation ``J Curr Trends Comp Sci Res'' in volume 1 and issue 1 with pages 06-14. The research article studies deeply with choosing neutrosophic hypergraphs instead of neutrosophic SuperHyperGraph. It's the breakthrough toward independent results based on initial background. \\ The seminal paper and groundbreaking article is titled ``Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes'' in \textbf{Ref.} \cite{HG2} by Henry Garrett (2022). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental SuperHyperNumber and using neutrosophic SuperHyperClasses of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “Journal of Mathematical Techniques and Computational Mathematics(JMTCM)” with ISO abbreviation ``J Math Techniques Comput Math'' in volume 1 and issue 3 with pages 242-263. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ The seminal paper and groundbreaking article is titled ``Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments'' in \textbf{Ref.} \cite{HG3} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental notions and using vital tools in Cancer’s Treatments. It's published in prestigious and fancy journal is entitled “Journal of Mathematical Techniques and Computational Mathematics(JMTCM)” with ISO abbreviation ``J Math Techniques Comput Math'' in volume 2 and issue 1 with pages 35-47. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. \\ In some articles are titled ``0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph'' in \textbf{Ref.} \cite{HG4} by Henry Garrett (2022), ``0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs'' in \textbf{Ref.} \cite{HG5} by Henry Garrett (2022), ``Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG6} by Henry Garrett (2022), ``Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition'' in \textbf{Ref.} \cite{HG7} by Henry Garrett (2022), ``Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG8} by Henry Garrett (2022), ``The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph'' in \textbf{Ref.} \cite{HG9} by Henry Garrett (2022), ``Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG10} by Henry Garrett (2022), ``Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG11} by Henry Garrett (2022), ``Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG13} by Henry Garrett (2022), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG14} by Henry Garrett (2022), ``Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond'' in \textbf{Ref.} \cite{HG15} by Henry Garrett (2022), ``(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs '' in \textbf{Ref.} \cite{HG16} by Henry Garrett (2022), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG17} by Henry Garrett (2022), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG18} by Henry Garrett (2022),``(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances'' in \textbf{Ref.} \cite{HG19} by Henry Garrett (2022), ``(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses'' in \textbf{Ref.} \cite{HG20} by Henry Garrett (2022), ``SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions'' in \textbf{Ref.} \cite{HG21} by Henry Garrett (2022), ``Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments'' in \textbf{Ref.} \cite{HG22} by Henry Garrett (2022), ``SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses'' in \textbf{Ref.} \cite{HG23} by Henry Garrett (2022), ``SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG24} by Henry Garrett (2023), ``The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG25} by Henry Garrett (2023), ``Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG26} by Henry Garrett (2023), ``Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG27} by Henry Garrett (2023), ``Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG28} by Henry Garrett (2023), ``Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique'' in \textbf{Ref.} \cite{HG29} by Henry Garrett (2023), ``Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs'' in \textbf{Ref.} \cite{HG30} by Henry Garrett (2023), ``Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG31} by Henry Garrett (2023), ``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints'' in \textbf{Ref.} \cite{HG32} by Henry Garrett (2023), ``(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG33} by Henry Garrett (2023), ``Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond'' in \textbf{Ref.} \cite{HG34} by Henry Garrett (2022), ``(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG35} by Henry Garrett (2022), ``Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs'' in \textbf{Ref.} \cite{HG36} by Henry Garrett (2022), ``Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph'' in \textbf{Ref.} \cite{HG37} by Henry Garrett (2022), ``Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)'' in \textbf{Ref.} \cite{HG38} by Henry Garrett (2022), and \cite{HG4,HG5,HG6,HG7,HG8,HG9,HG10,HG11,HG12,HG13,HG14,HG15,HG16,HG17,HG18,HG19,HG20,HG21,HG22,HG23,HG24,HG25,HG26,HG27,HG28,HG29,HG30,HG31,HG32,HG33,HG34,HG35,HG36,HG37,HG38,HG94,HG942,HG95,HG952,HG96,HG962,HG97,HG972,HG98,HG982,HG106,HG107,HG111,HG112,HG115,HG116,HG120,HG121,HG122,HG123,HG124,HG125,HG126,HG127,HG128,HG129,HG130,HG131,HG132,HG134,HG135,HG136,HG137,HG138,HG139,HG140,HG141,HG142,HG143,HG144,HG145,HG146,HG147,HG148,HG149,HG150,HG151,HG152,HG153,HG154,HG155,HG156,HG157,HG158,HG159,HG160,HG161,HG162,HG163,HG164,HG165,HG166,HG167,HG168,HG169,HG170,HG171,HG172,HG173,HG174,HG175,HG176,HG177,HG178,HG179,HG180,HG181,HG182,HG183,HG184,HG185,HG186,HG187,HG188,HG189,HG190,HG191,HG192,HG193,HG194,HG195,HG196,HG197,HG198,HG199,HG200,HG201,HG202,HG203,HG204,HG205,HG206,HG207,HG208,HG209,HG210,HG211,HG212,HG213,HG214,HG215,HG216,HG217,HG218,HG219,HG220,HG221,HG222,HG223,HG224,HG225,HG226,HG228,HG230,HG231,HG232,HG233,HG234,HG235,HG236}, there are some endeavors to formalize the basic SuperHyperNotions about neutrosophic SuperHyperGraph and SuperHyperGraph alongside scientific research books at \cite{HG60b,HG61b,HG62b,HG63b,HG64b,HG65b,HG66b,HG67b,HG68b,HG69b,HG70b,HG71b,HG72b,HG73b,HG74b,HG75b,HG76b,HG77b,HG78b,HG79b,HG80b,HG81b,HG82b,HG83b,HG84b,HG85b,HG86b,HG87b,HG88b,HG89b,HG90b,HG91b,HG92b,HG93b,HG94b,HG95b,HG96b,HG97b,HG98b,HG99b,HG100b,HG101b,HG102b,HG103b,HG104b,HG105b,HG106b,HG107b,HG108b,HG109b,HG110b,HG111b,HG112b,HG113b,HG114b,HG115b,HG116b,HG117b,HG118b,HG119b,HG120b,HG121b,HG122b,HG123b,HG124b,HG125b,HG126b,HG127b,HG128b,HG129b,HG130b,HG131b,HG132b,HG133b,HG134b,HG135b,HG136b,HG137b,HG138b,HG139b,HG140b,HG141b,HG142b,HG143b,HG144b,HG145b,HG146b,HG147b,HG148b,HG149b,HG150b,HG151b,HG152b,HG153b,HG154b,HG155b}. Two popular scientific research books in Scribd in the terms of high readers, 4190 and 5189 respectively, on neutrosophic science is on \cite{HG32b,HG44b}. \\ Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG71b} by Henry Garrett (2023) which is indexed by Google Scholar and has more than 4216 readers in Scribd. It's titled ``Beyond Neutrosophic Graphs'' and published by Dr. Henry Garrett. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. \\ Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG70b} by Henry Garrett (2023) which is indexed by Google Scholar and has more than 5214 readers in Scribd. It's titled ``Neutrosophic Duality'' and published by Dr. Henry Garrett. This research book presents different types of notions SuperHyperResolving and SuperHyperDominating in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It's smart to consider a set but acting on its complement that what's done in this research book which is popular in the terms of high readers in Scribd. \\ See the seminal scientific researches \cite{HG1,HG2,HG3}. The formalization of the notions on the framework of notions in SuperHyperGraphs, Neutrosophic notions in SuperHyperGraphs theory, and (Neutrosophic) SuperHyperGraphs theory at \cite{HG4,HG5,HG6,HG7,HG8,HG9,HG10,HG11,HG12,HG13,HG14,HG15,HG16,HG17,HG18,HG19,HG20,HG21,HG22,HG23,HG24,HG25,HG26,HG27,HG28,HG29,HG30,HG31,HG32,HG33,HG34,HG35,HG36,HG37,HG38,HG94,HG942,HG95,HG952,HG96,HG962,HG97,HG972,HG98,HG982,HG106,HG107,HG111,HG112,HG115,HG116,HG120,HG121,HG122,HG123,HG124,HG125,HG126,HG127,HG128,HG129,HG130,HG131,HG132,HG134,HG135,HG136,HG137,HG138,HG139,HG140,HG141,HG142,HG143,HG144,HG145,HG146,HG147,HG148,HG149,HG150,HG151,HG152,HG153,HG154,HG155,HG156,HG157,HG158,HG159,HG160,HG161,HG162,HG163,HG164,HG165,HG166,HG167,HG168,HG169,HG170,HG171,HG172,HG173,HG174,HG175,HG176,HG177,HG178,HG179,HG180,HG181,HG182,HG183,HG184,HG185,HG186,HG187,HG188,HG189,HG190,HG191,HG192,HG193,HG194,HG195,HG196,HG197,HG198,HG199,HG200,HG201,HG202,HG203,HG204,HG205,HG206,HG207,HG208,HG209,HG210,HG211,HG212,HG213,HG214,HG215,HG216,HG217,HG218,HG219,HG220,HG221,HG222,HG223,HG224,HG225,HG226,HG228,HG230,HG231,HG232,HG233,HG234,HG235,HG236} alongside scientific research books at \cite{HG60b,HG61b,HG62b,HG63b,HG64b,HG65b,HG66b,HG67b,HG68b,HG69b,HG70b,HG71b,HG72b,HG73b,HG74b,HG75b,HG76b,HG77b,HG78b,HG79b,HG80b,HG81b,HG82b,HG83b,HG84b,HG85b,HG86b,HG87b,HG88b,HG89b,HG90b,HG91b,HG92b,HG93b,HG94b,HG95b,HG96b,HG97b,HG98b,HG99b,HG100b,HG101b,HG102b,HG103b,HG104b,HG105b,HG106b,HG107b,HG108b,HG109b,HG110b,HG111b,HG112b,HG113b,HG114b,HG115b,HG116b,HG117b,HG118b,HG119b,HG120b,HG121b,HG122b,HG123b,HG124b,HG125b,HG126b,HG127b,HG128b,HG129b,HG130b,HG131b,HG132b,HG133b,HG134b,HG135b,HG136b,HG137b,HG138b,HG139b,HG140b,HG141b,HG142b,HG143b,HG144b,HG145b,HG146b,HG147b,HG148b,HG149b,HG150b,HG151b,HG152b,HG153b,HG154b,HG155b}. Two popular scientific research books in Scribd in the terms of high readers, 4216 and 5214 respectively, on neutrosophic science is on \cite{HG32b,HG44b}. \begin{thebibliography}{595} \bibitem{HG1} Henry Garrett, ``\textit{Neutrosophic Co-degree and Neutrosophic Degree alongside Chromatic Numbers in the Setting of Some Classes Related to Neutrosophic Hypergraphs}'', J Curr Trends Comp Sci Res 1(1) (2022) 06-14. \bibitem{HG2} Henry Garrett, “Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes”, J Math Techniques Comput Math 1(3) (2022) 242-263. (doi: 10.33140/JMTCM.01.03.09) \bibitem{HG3} Henry Garrett, “Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments”, J Math Techniques Comput Math 2(1) (2023) 35-47. (https://www.opastpublishers.com/open-access-articles/some-super-hyper-degrees-and-cosuper-hyper-degrees-on-neutrosophic-super-hyper-graphs-and-super-hyper-graphs-alongside-a.pdf) \bibitem{HG216} Henry Garrett, “A Research on Cancers Recognition and Neutrosophic Super Hypergraph by Eulerian Super Hyper Cycles and Hamiltonian Sets as Hyper Covering Versus Super separations”, J Math Techniques Comput Math 2(3) (2023) 136-148. (https://www.opastpublishers.com/open-access-articles/a-research-on-cancers-recognition-and-neutrosophic-super-hypergraph-by-eulerian-super-hyper-cycles-and-hamiltonian-sets-.pdf) \bibitem{HG4} Garrett, Henry. ``\textit{0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph.}'' CERN European Organization for Nuclear Research - Zenodo, Nov. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.5281/zenodo.6319942. https://oa.mg/work/10.5281/zenodo.6319942 \bibitem{HG5} Garrett, Henry. ``\textit{0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs.}'' CERN European Organization for Nuclear Research - Zenodo, Feb. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.13140/rg.2.2.35241.26724. https://oa.mg/work/10.13140/rg.2.2.35241.26724 \bibitem{HG6} Henry Garrett, ``\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1). \bibitem{HG7} Henry Garrett, ``\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}'', Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1). \bibitem{HG8} Henry Garrett, ``\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1). \bibitem{HG9} Henry Garrett, ``\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}'', Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1). \bibitem{HG10} Henry Garrett, ``\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1). \bibitem{HG11} Henry Garrett, ``\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1). \bibitem{HG12} Henry Garrett, ``\textit{Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1). \bibitem{HG13} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG14} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG15} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', Preprints 2023, 2023010044 \bibitem{HG16} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1). \bibitem{HG17} Henry Garrett, \textit{``Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs''}, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG18} Henry Garrett, \textit{``Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints''}, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG19} Henry Garrett, \textit{``(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances''}, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1). \bibitem{HG20} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}'', Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1). \bibitem{HG21} Henry Garrett, ``\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}'', Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1). \bibitem{HG22} Henry Garrett, ``\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}'', Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1). \bibitem{HG23} Henry Garrett, ``\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}'', Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1). \bibitem{HG236} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7806767). \bibitem{HG235} Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Hamiltonian-Type-Cycle-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7806838). \bibitem{HG234} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi: 10.5281/zenodo.7804238). \bibitem{HG233} Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Hamiltonian-Type-Cycle-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7804228). \bibitem{HG232} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Cut As Hyper Hamper On Super Hammy”, Zenodo 2023, (doi: 10.5281/zenodo.7799902). \bibitem{HG231} Henry Garrett, “New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Type-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7804218). \bibitem{HG230} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7796334). \bibitem{HG228} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi: 10.5281/zenodo.7793372). \bibitem{HG226} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Cut As Hyper Hamper On Super Hammy”, Zenodo 2023, (doi: 10.5281/zenodo.7791952). \bibitem{HG225} Henry Garrett, “New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7791982). \bibitem{HG224} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7790026). \bibitem{HG223} Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Hamiltonian-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7790052). \bibitem{HG222} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi: 10.5281/zenodo.7787066). \bibitem{HG221} Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Hamiltonian-Decomposition In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7787094). \bibitem{HG220} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cut As Hyper Hamper On Super Hammy”, Zenodo 2023, (doi: 10.5281/zenodo.7781476). \bibitem{HG219} Henry Garrett, “New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7783082). \bibitem{HG218} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Trace-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7777857). \bibitem{HG217} Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Trace-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7779286). \bibitem{HG215} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi: 10.5281/zenodo.7771831). \bibitem{HG214} Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Trace-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7772468). \bibitem{HG213} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Cut As Hyper Nebbish On Super Nebulous”, ResearchGate 2023, (doi: 10.13140/RG.2.2.20913.25446). \bibitem{HG212} Henry Garrett, “New Ideas On Super Tract By Hyper Track Of Trace-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7764916). \bibitem{HG211} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Neighbor As Hyper Nebbish On Super Nebulous”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11770.98247). \bibitem{HG210} Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Edge-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.12400.12808). \bibitem{HG209} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Decomposition As Hyper Decompress On Super Decompensation”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22545.10089). \bibitem{HG208} Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Edge-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29544.34564). \bibitem{HG207} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Cut As Hyper Edify On Super Eddy”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11377.76644). \bibitem{HG206} Henry Garrett, “New Ideas On Super Eddy By Hyper Edify Of Edge-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23750.96329). \bibitem{HG205} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Neighbor As Hyper Nebbish On Super Nebulous”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31366.24641). \bibitem{HG204} Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Vertex-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34721.68960). \bibitem{HG203} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Decomposition As Hyper Decompress On Super Decompensation”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30212.81289). \bibitem{HG202} Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Vertex-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18468.76169). \bibitem{HG201} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Cut As Hyper Vertu On Super Vertigo”, ResearchGate 2023, (doi: 10.13140/RG.2.2.24288.35842). \bibitem{HG200} Henry Garrett, “New Ideas On Super Vertigo By Hyper Vertu Of Vertex-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32467.25124). \bibitem{HG199} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Neighbor As Hyper Nebbish On Super Nebulous”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31025.45925). \bibitem{HG198} Henry Garrett, “New Ideas On Super Nebulizer By Hyper Nub Of Stable-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17184.25602). \bibitem{HG197} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Decompositions As Hyper Stain On Super Stagy”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23423.28327). \bibitem{HG196} Henry Garrett, “New Ideas On Super Stale By Hyper Stalk Of Stable-Decompositions In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.28456.44805). \bibitem{HG195} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Cut As Hyper Stain On Super Stagy”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23525.68320). \bibitem{HG194} Henry Garrett, “New Ideas On Super Stale By Hyper Stalk Of Stable-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.20170.24000). \bibitem{HG193} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Clique-Neighbors As Hyper Nebbish On Super Nebulous”, ResearchGate 2023, (doi: 10.13140/RG.2.2.36475.59683). \bibitem{HG192} Henry Garrett, “New Ideas On Super Nebulizer By Hyper Nub Of Clique-Neighbors In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29764.71046). \bibitem{HG191} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Clique-Decompositions As Hyper Decompile On Super Decommission”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18780.87683). \bibitem{HG190} Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Clique- Decompositions In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.27169.48487). \bibitem{HG189} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Clique-Cut As Hyper Click On Super Cliche”, ResearchGate 2023, (doi: 10.13140/RG.2.2.26134.01603). \bibitem{HG188} Henry Garrett, “New Ideas On Super Cliff By Hyper Cling Of Clique-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.27392.30721). \bibitem{HG187} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Space As Hyper Spin On Super Spacy”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33028.40321). \bibitem{HG186} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By List- Coloring As Hyper List On Super Lisle”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21389.20966). \bibitem{HG185} Henry Garrett, “New Ideas On Super Lith By Hyper Lite Of List-Coloring In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.16356.04489). \bibitem{HG184} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Space As Hyper Sparse On Super Spark”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21756.21129). \bibitem{HG183} Henry Garrett, “New Ideas On Super Solidarity By Hyper Soul Of Space In Cancer's Recognition With (Extreme) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30983.68009). \bibitem{HG182} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Connectivity As Hyper Disclosure On Super Closure”, ResearchGate 2023, (doi: 10.13140/RG.2.2.28552.29445). \bibitem{HG181} Henry Garrett, “New Ideas On Super Uniform By Hyper Deformation Of Edge-Connectivity In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.10936.21761). \bibitem{HG180} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Connectivity As Hyper Leak On Super Structure”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35105.89447). \bibitem{HG179} Henry Garrett, “New Ideas On Super System By Hyper Explosions Of Vertex-Connectivity In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30072.72960). \bibitem{HG178} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Tree-Decomposition As Hyper Forward On Super Returns”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31147.52003). \bibitem{HG177} Henry Garrett, “New Ideas On Super Nodes By Hyper Moves Of Tree-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32825.24163). \bibitem{HG176} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Chord As Hyper Excellence On Super Excess”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13059.58401). \bibitem{HG175} Henry Garrett, “New Ideas On Super Gap By Hyper Navigations Of Chord In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11172.14720). \bibitem{HG174} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyper(i,j)-Domination As Hyper Controller On Super Waves”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22011.80165). \bibitem{HG173} Henry Garrett, “New Ideas On Super Coincidence By Hyper Routes Of SuperHyper(i,j)-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30819.84003). \bibitem{HG172} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperEdge-Domination As Hyper Reversion On Super Indirection”, ResearchGate 2023, (doi: 10.13140/RG.2.2.10493.84962). \bibitem{HG171} Henry Garrett, “New Ideas On Super Obstacles By Hyper Model Of SuperHyperEdge-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13849.29280). \bibitem{HG170} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Domination As Hyper k-Actions On Super Patterns”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19944.14086). \bibitem{HG169} Henry Garrett, “New Ideas On Super Harmony By Hyper k-Function Of SuperHyperK-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23299.58404). \bibitem{HG168} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Number As Hyper k-Partition On Super Layers”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33103.76968). \bibitem{HG167} Henry Garrett, “New Ideas On Super Gradient By Hyper k-Class Of SuperHyperK-Number In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23037.44003). \bibitem{HG166} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperOrder As Hyper Enumerations On Super Landmarks”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35646.56641). \bibitem{HG165} Henry Garrett, “New Ideas On Super Analogous By Hyper Visions Of SuperHyperOrder In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18030.48967). \bibitem{HG164} Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperColoring As Hyper Categories On Super Neighbors”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13973.81121). \bibitem{HG163} Henry Garrett, “New Ideas On Super Relations By Hyper Identifications Of SuperHyperColoring In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34106.47047). \bibitem{HG162} Henry Garrett, “New Ideas On Super Contradiction By Hyper Detection of SuperHyperDefensive In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13397.09446). \bibitem{HG161} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperDimension As Hyper Distinguishing On Super Distances”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31956.88961). \bibitem{HG160} Henry Garrett, “New Ideas On Super Locations By Hyper Differing Of SuperHyperDimension In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.15179.67361). \bibitem{HG159} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperDominating As Hyper Closing On Super Messy”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21510.45125). \bibitem{HG158} Henry Garrett, “New Ideas On Super Missing By Hyper Searching Of SuperHyperDominating In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13121.84321). \bibitem{HG157} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperConnected As Hyper Group On Super Surge”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11758.69441). \bibitem{HG156} Henry Garrett, “New Ideas On Super Outbreak By Hyper Collections Of SuperHyperConnected In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31891.35367). \bibitem{HG155} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperTotal As Hyper Covering On Super Infections”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19360.87048). \bibitem{HG154} Henry Garrett, “New Ideas On Super Extremism By Hyper Treatments Of SuperHyperTotal In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32363.21286). \bibitem{HG153} Henry Garrett, “New Ideas On Super Isolation By Hyper Perfectness Of SuperHyperPerfect In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23266.81602). \bibitem{HG152} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperPerfect As Hyper Idealism On Super Vacancy”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19911.37285). \bibitem{HG151} Henry Garrett, “New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperJoin As Hyper Separations On Super Sorts”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11050.90569). \bibitem{HG150} Henry Garrett, “New Ideas On Super connections By Hyper disconnections Of SuperHyperJoin In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17761.79206). \bibitem{HG149} Henry Garrett, “New Ideas On Super Mixed-Devastations By Hyper Decisions Of SuperHyperDuality In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34953.52320). \bibitem{HG148} Henry Garrett, “New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By SuperHyperDuality As Hyper Imaginations On Super Mixed-Illustrations”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33275.80161). \bibitem{HG147} Henry Garrett, “New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By Path SuperHyperColoring As Hyper Correction On Super Faults”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30182.50241). \bibitem{HG146} Henry Garrett, “New Ideas On Super Reflections By Hyper Rotations Of Path SuperHyperColoring In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33459.30243). \bibitem{HG145} Henry Garrett, “New Ideas As Hyper Deformations On Super Chains In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph By SuperHyperDensity”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13444.60806). \bibitem{HG144} Henry Garrett, “New Ideas As Hyper Ignorance By SuperHyperDensity On Super Resistances In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023, (doi:10.13140/RG.2.2.16800.05123). \bibitem{HG143} Henry Garrett, “New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-VI”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29913.80482). \bibitem{HG142} Henry Garrett, “New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-V”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33269.24809). \bibitem{HG141} Henry Garrett, “New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-IV”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34946.96960). \bibitem{HG140} Henry Garrett, “A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-III”, ResearchGate 2023, (doi: 10.13140/RG.2.2.14814.31040). \bibitem{HG139} Henry Garrett, “A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-II”, ResearchGate 2023, (doi: 10.13140/RG.2.2.15653.17125). \bibitem{HG138} Henry Garrett, “A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-I”, ResearchGate 2023, (doi: 10.13140/RG.2.2.25719.50089). \bibitem{HG137} Henry Garrett, “New Ideas On Super Disruptions In Cancer’s Extreme Recognition As Neutrosophic SuperHyperGraph By Hyper Plans Called SuperHyperConnectivities”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29441.94562). \bibitem{HG136} Henry Garrett, “Cancer’s Neutrosophic Recognition As Neutrosophic SuperHyperGraph By SuperHyperConnectivities As Hyper Diagnosis On Super Mechanism”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17252.24968). \bibitem{HG135} Henry Garrett,“Cancer’s Recognition and (Neutrosophic) SuperHyperGraph By the Criteria of Eulerian and Hamiltonian Type-Sets As Hyper Modified Cycles On Super Mess”, ResearchGate 2023,(doi: 10.13140/RG.2.2.16652.59525). \bibitem{HG134} Henry Garrett,“Eulerian and Hamiltonian In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph On Super Interactions By Hyper Extensions of Cycles”, ResearchGate 2023,(doi: 10.13140/RG.2.2.34583.24485). \bibitem{HG132} Henry Garrett,“SuperHyperGirth Type-Results on extreme SuperHyperGirth theory and (Neutrosophic) SuperHyperGraphs Toward Cancer’s extreme Recognition”, Preprints 2023, 2023010396 (doi: 10.20944/preprints202301.0396.v1). \bibitem{HG131} Henry Garrett,“Neutrosophic SuperHyperGraphs Warns Hyper Landmark of neutrosophic SuperHyperGirth In Super Type-Versions of Cancer’s neutrosophic Recognition”, Preprints 2023, 2023010395 (doi: 10.20944/preprints202301.0395.v1). \bibitem{HG130} Henry Garrett,“The Constructions of (Neutrosophic) SuperHyperGraphs on the Cancer’s Recognition in The Confrontation With Super Attacks In Hyper Situations By Implementing (Neutrosophic) 1-Failed SuperHyperForcing in The Technical Approaches to Neutralize SuperHyperViews”, ResearchGate 2023, (doi: 10.13140/RG.2.2.26240.51204). \bibitem{HG129} Henry Garrett,“(Neutrosophic) 1-Failed SuperHyperForcing As the Entrepreneurs on Cancer’s Recognitions To Fail Forcing Style As the Super Classes With Hyper Effects In The Background of the Framework is So-Called (Neutrosophic) SuperHyperGraphs”, ResearchGate 2023, (doi: 10.13140/RG.2.2.12818.73925). \bibitem{HG128} Henry Garrett,“Super Actions On The Types of Hyper Levels In The Sensible Neutrosophic SuperHyperGirth On Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph”, ResearchGate 2023,(doi: 10.13140/RG.2.2.26836.88960). \bibitem{HG127} Henry Garrett,“SuperHyperGirth Approaches on the Super Challenges on the Cancer’s Recognition In the Hyper Model of (Neutrosophic) SuperHyperGraph”, ResearchGate 2023,(doi: 10.13140/RG.2.2.36745.93289). \bibitem{HG126} Henry Garrett,“Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1). \bibitem{HG125} Henry Garrett,“Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition”, Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1). \bibitem{HG124} Henry Garrett,“Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs”, Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1).). \bibitem{HG123} Henry Garrett, “The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph”, Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1). \bibitem{HG122} Henry Garrett,“Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1). \bibitem{HG121} Henry Garrett, “Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs”, Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1). \bibitem{HG120} Henry Garrett, “Extremism of the Attacked Body Under the Cancer’s Circumstances Where Cancer’s Recognition Titled (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1). \bibitem{HG24} Henry Garrett,``\textit{SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs}'', ResearchGate 2023,(doi: 10.13140/RG.2.2.35061.65767). \bibitem{HG25} Henry Garrett,``\textit{The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.18494.15680). \bibitem{HG26} Henry Garrett,``\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922). \bibitem{HG27} Henry Garrett,``\textit{Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.15897.70243). \bibitem{HG116} Henry Garrett,“Extreme Failed SuperHyperClique Decides the Failures on the Cancer’s Recognition in the Perfect Connections of Cancer’s Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922). \bibitem{HG115} Henry Garrett, “(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG28} Henry Garrett,``\textit{Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.30092.80004). \bibitem{HG29} Henry Garrett,``\textit{Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.23172.19849). \bibitem{HG112} Henry Garrett, “Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1). \bibitem{HG111} Henry Garrett, “Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints”, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1). \bibitem{HG30} Henry Garrett,``\textit{Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.17385.36968). \bibitem{HG107} Henry Garrett, “Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond”, Preprints 2023, 2023010044 \bibitem{HG106} Henry Garrett, “(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs”, Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1). \bibitem{HG31} Henry Garrett, ``\textit{Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.28945.92007). \bibitem{HG32} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.11447.80803). \bibitem{HG33} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.35774.77123). \bibitem{HG34} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.36141.77287). \bibitem{HG35} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.29430.88642). \bibitem{HG36} Henry Garrett, ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.11369.16487). \bibitem{HG982} Henry Garrett, “(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances”, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1). \bibitem{HG98} Henry Garrett, “(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances”, ResearchGate 2022, (doi: 10.13140/RG.2.2.19380.94084). \bibitem{HG972} Henry Garrett, “(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses”, Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1). \bibitem{HG97} Henry Garrett, “(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses”, ResearchGate 2022, (doi: 10.13140/RG.2.2.14426.41923). \bibitem{HG962} Henry Garrett, “SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions”, Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1). \bibitem{HG96} Henry Garrett, “SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions”, ResearchGate 2022 (doi: 10.13140/RG.2.2.20993.12640). \bibitem{HG952} Henry Garrett,“Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments”, Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1). \bibitem{HG95} Henry Garrett, “Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs And SuperHyperGraphs Alongside Applications in Cancer’s Treatments”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23123.04641). \bibitem{HG942} Henry Garrett, “SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses”, Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1). \bibitem{HG94} Henry Garrett, “SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23324.56966). \bibitem{HG37} Henry Garrett, \textit{``Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph''}, ResearchGate 2022 (doi: 10.13140/RG.2.2.29173.86244). \bibitem{HG38} Henry Garrett, ``\textit{Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)}'', ResearchGate 2022 (doi: 10.13140/RG.2.2.25385.88160). \bibitem{HG155b} Henry Garrett, “Hamiltonian-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7804449). \bibitem{HG154b} Henry Garrett, “Hamiltonian-Cycle-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7793875). \bibitem{HG153b} Henry Garrett, “Hamiltonian-Cycle-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7792307). \bibitem{HG152b} Henry Garrett, “Hamiltonian-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7790728). \bibitem{HG151b} Henry Garrett, “Hamiltonian-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7787712). \bibitem{HG150b} Henry Garrett, “Hamiltonian-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7783791). \bibitem{HG149b} Henry Garrett, “Trace-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7780123). \bibitem{HG148b} Henry Garrett, “Trace-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7773119). \bibitem{HG147b} Henry Garrett, “SuperHyperDuality”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7637762). \bibitem{HG146b} Henry Garrett, “Trace-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7766174). \bibitem{HG145b}Henry Garrett, “Edge-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7762232). \bibitem{HG144b} Henry Garrett, “Edge-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7758601). \bibitem{HG143b} Henry Garrett, “Edge-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7754661). \bibitem{HG142b} Henry Garrett, “Vertex-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7750995) . \bibitem{HG141b} Henry Garrett, “Vertex-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7749875). \bibitem{HG140b} Henry Garrett, “Vertex-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7747236). \bibitem{HG139b} Henry Garrett, “Stable-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7742587). \bibitem{HG138b} Henry Garrett, “Stable-Decompositions In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7738635). \bibitem{HG137b} Henry Garrett, “Stable-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7734719). \bibitem{HG136b} Henry Garrett, “Clique-Neighbors In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7730484). \bibitem{HG135b} Henry Garrett, “Clique-Decompositions In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7730469). \bibitem{HG134b} Henry Garrett, “Clique-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7722865). \bibitem{HG133b} Henry Garrett, “Space In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7713563). \bibitem{HG132b} Henry Garrett, “Space In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7709116). \bibitem{HG131b} Henry Garrett, “Edge-Connectivity In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7706415). \bibitem{HG130b} Henry Garrett, “Vertex-Connectivity In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7706063). \bibitem{HG129b} Henry Garrett, “Tree-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7701906). \bibitem{HG128b} Henry Garrett, “Chord In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7700205). \bibitem{HG127b} Henry Garrett, “(i,j)-Domination In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7694876). \bibitem{HG126b} Henry Garrett, “Edge-Domination In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7679410). \bibitem{HG125b} Henry Garrett, “K-Domination In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7675982). \bibitem{HG124b} Henry Garrett, “K-Number In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7672388). \bibitem{HG123b} Henry Garrett, “Order In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7668648). \bibitem{HG122b} Henry Garrett, “Coloring In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7662810). \bibitem{HG121b} Henry Garrett, “Dimension In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7659162). \bibitem{HG120b} Henry Garrett, “Cancer In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653233). \bibitem{HG119b} Henry Garrett, “SuperHyperWheel”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653204). \bibitem{HG118b} Henry Garrett, “SuperHyperMultipartite”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653142). \bibitem{HG117b} Henry Garrett, “SuperHyperBipartite”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653117). \bibitem{HG116b} Henry Garrett, “SuperHyperStar”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653089). \bibitem{HG115b} Henry Garrett, “SuperHyperCycle”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651687). \bibitem{HG114b} Henry Garrett, “SuperHyperPath”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651619). \bibitem{HG113b} Henry Garrett, “SuperHyperDomination”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651439). \bibitem{HG112b} Henry Garrett, “SuperHyperDominating”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7650729). \bibitem{HG111b} Henry Garrett, “SuperHyperConnected”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7647868). \bibitem{HG110b} Henry Garrett, “SuperHyperTotal”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7647017). \bibitem{HG109b} Henry Garrett, “SuperHyperPerfect”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7644894). \bibitem{HG108b} Henry Garrett, “SuperHyperJoin”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7641880). \bibitem{HG107b} Henry Garrett, “Path SuperHyperColoring”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7632923). \bibitem{HG106b} Henry Garrett, “SuperHyperDensity”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7623459). \bibitem{HG105b} Henry Garrett, “Neutrosophic SuperHyperConnectivities”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606416). \bibitem{HG104b} Henry Garrett, “Extreme SuperHyperConnectivities”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606416). \bibitem{HG103b} Henry Garrett, “SuperHyperConnectivities”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606404). \bibitem{HG102b} Henry Garrett, “Neutrosophic SuperHyperCycle”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018). \bibitem{HG101b} Henry Garrett, “Extreme SuperHyperCycle”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018). \bibitem{HG100b} Henry Garrett, “Extreme SuperHyperCycle”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018). \bibitem{HG99b} Henry Garrett, “SuperHyperCycle”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7579929). \bibitem{HG98b} Henry Garrett, “Neutrosophic SuperHyperGirth”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563170). \bibitem{HG97b} Henry Garrett, “Extreme SuperHyperGirth”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563164). \bibitem{HG96b} Henry Garrett, “SuperHyperGirth”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160). \bibitem{HG95b} Henry Garrett, “Extreme SuperHyperGirth”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160). \bibitem{HG94b} Henry Garrett, “Overlook On SuperHyperGirth”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160). \bibitem{HG93b} Henry Garrett, “Neutrosophic SuperHyperMatching”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7557063). \bibitem{HG92b} Henry Garrett, “Extreme SuperHyperMatching”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7557009). \bibitem{HG91b} Henry Garrett, “Overlook On SuperHyperMatching”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7539484). \bibitem{HG90b} Henry Garrett, “Neutrosophic Failed SuperHyperClique”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG89b} Henry Garrett, “Extreme Failed SuperHyperClique”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG88b} Henry Garrett, “Overlook On Failed SuperHyperClique”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG87b} Henry Garrett, “Extreme SuperHyperClique”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7574952). \bibitem{HG86b} Henry Garrett, “Neutrosophic SuperHyperClique”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7574992). \bibitem{HG85b} Henry Garrett, “Extreme SuperHyperClique”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357). \bibitem{HG84b} Henry Garrett, “Overlook On SuperHyperClique”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357). \bibitem{HG83b} Henry Garrett, “Neutrosophic Failed SuperHyperStable”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG82b} Henry Garrett, “Extreme Failed SuperHyperStable”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG81b} Henry Garrett, “Overlook On Failed SuperHyperStable”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG80b} Henry Garrett, “Neutrosophic SuperHyperStable”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG79b} Henry Garrett, “Extreme SuperHyperStable”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG78b} Henry Garrett, “Overlook On SuperHyperStable”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG77b} Henry Garrett, “Neutrosophic Failed SuperHyperForcing”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450). \bibitem{HG76b} Henry Garrett, “Extreme Failed SuperHyperForcing”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450). \bibitem{HG75b} Henry Garrett, “Neutrosophic SuperHyperForcing”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG74b} Henry Garrett, “Extreme SuperHyperForcing”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG73b} Henry Garrett, “Overlook On SuperHyperForcing”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG72b} Henry Garrett, “Neutrosophic SuperHyperAlliances”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG71b} Henry Garrett, “Extreme SuperHyperAlliances”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG70b} Henry Garrett, “Overlook On SuperHyperAlliances”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG69b} Henry Garrett, “SuperHyperMatching”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7539484). \bibitem{HG68b} Henry Garrett, “Failed SuperHyperClique”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390). \bibitem{HG67b} Henry Garrett, “SuperHyperClique”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357). \bibitem{HG66b} Henry Garrett, “Failed SuperHyperStable”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782). \bibitem{HG65b} Henry Garrett, “SuperHyperStable”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395). \bibitem{HG64b} Henry Garrett, “Failed SuperHyperForcing”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450). \bibitem{HG63b} Henry Garrett, “SuperHyperForcing”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862). \bibitem{HG62b} Henry Garrett, “SuperHyperAlliances”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845). \bibitem{HG61b} Henry Garrett, “SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7480110). \bibitem{HG60b} Henry Garrett, “Neut. SuperHyperEdges”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7378758). \bibitem{HG32b} Henry Garrett, “Beyond Neutrosophic Graphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.6320305). \bibitem{HG44b} Henry Garrett, “Neutrosophic Duality”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.6677173). \end{thebibliography} [ADDRESSED CITATION] [HG156b] Henry Garrett, “Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7807782). In this scientific research book, there are some scientific research chapters on “Extreme Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs” and “Neutrosophic Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs” about some scientific researches on Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs and Neutrosophic Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs. With scientific research on the basic scientific research properties, the scientific research book starts to make Extreme Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs theory and Neutrosophic Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4048 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 5046 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf).