Mathematical Foundations And Applications Of Graph Entropy
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Author | : Matthias Dehmer |
Publisher | : John Wiley & Sons |
Total Pages | : 298 |
Release | : 2017-09-12 |
Genre | : Medical |
ISBN | : 3527339094 |
This latest addition to the successful Network Biology series presents current methods for determining the entropy of networks, making it the first to cover the recently established Quantitative Graph Theory. An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. The topics range from analyzing mathematical properties of methods right up to applying them in real-life areas. Filling a gap in the contemporary literature this is an invaluable reference for a number of disciplines, including mathematicians, computer scientists, computational biologists, and structural chemists.
Author | : Matthias Dehmer |
Publisher | : CRC Press |
Total Pages | : 530 |
Release | : 2014-10-27 |
Genre | : Computers |
ISBN | : 1466584513 |
The first book devoted exclusively to quantitative graph theory, Quantitative Graph Theory: Mathematical Foundations and Applications presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information theory, measurement theory, and statistical techniques, this book covers a wide range of quantitative-graph theoretical concepts and methods, including those pertaining to real and random graphs such as: Comparative approaches (graph similarity or distance) Graph measures to characterize graphs quantitatively Applications of graph measures in social network analysis and other disciplines Metrical properties of graphs and measures Mathematical properties of quantitative methods or measures in graph theory Network complexity measures and other topological indices Quantitative approaches to graphs using machine learning (e.g., clustering) Graph measures and statistics Information-theoretic methods to analyze graphs quantitatively (e.g., entropy) Through its broad coverage, Quantitative Graph Theory: Mathematical Foundations and Applications fills a gap in the contemporary literature of discrete and applied mathematics, computer science, systems biology, and related disciplines. It is intended for researchers as well as graduate and advanced undergraduate students in the fields of mathematics, computer science, mathematical chemistry, cheminformatics, physics, bioinformatics, and systems biology.
Author | : Zengqiang Chen |
Publisher | : CRC Press |
Total Pages | : 276 |
Release | : 2018-09-05 |
Genre | : Mathematics |
ISBN | : 1351237284 |
Modern and Interdisciplinary Problems in Network Science: A Translational Research Perspective covers a broad range of concepts and methods, with a strong emphasis on interdisciplinarity. The topics range from analyzing mathematical properties of network-based methods to applying them to application areas. By covering this broad range of topics, the book aims to fill a gap in the contemporary literature in disciplines such as physics, applied mathematics and information sciences.
Author | : Kohei Arai |
Publisher | : Springer Nature |
Total Pages | : 721 |
Release | : 2020-07-03 |
Genre | : Technology & Engineering |
ISBN | : 3030522431 |
This book focuses on the core areas of computing and their applications in the real world. Presenting papers from the Computing Conference 2020 covers a diverse range of research areas, describing various detailed techniques that have been developed and implemented. The Computing Conference 2020, which provided a venue for academic and industry practitioners to share new ideas and development experiences, attracted a total of 514 submissions from pioneering academic researchers, scientists, industrial engineers and students from around the globe. Following a double-blind, peer-review process, 160 papers (including 15 poster papers) were selected to be included in these proceedings. Featuring state-of-the-art intelligent methods and techniques for solving real-world problems, the book is a valuable resource and will inspire further research and technological improvements in this important area.
Author | : Prof. Shaun Pather |
Publisher | : Academic Conferences and publishing limited |
Total Pages | : |
Release | : 2018-11-29 |
Genre | : Business & Economics |
ISBN | : 1912764105 |
Author | : Nathaniel F. G. Martin |
Publisher | : Cambridge University Press |
Total Pages | : 292 |
Release | : 2011-06-02 |
Genre | : Computers |
ISBN | : 9780521177382 |
This excellent 1981 treatment of the mathematical theory of entropy gives an accessible exposition its application to other fields.
Author | : Imre Csiszár |
Publisher | : Springer Science & Business Media |
Total Pages | : 262 |
Release | : 2007-04-05 |
Genre | : Mathematics |
ISBN | : 3540327770 |
This book collects survey papers in the fields of entropy, search and complexity, summarizing the latest developments in their respective areas. More than half of the papers belong to search theory which lies on the borderline of mathematics and computer science, information theory and combinatorics, respectively. The book will be useful to experienced researchers as well as young scientists and students both in mathematics and computer science.
Author | : Richard J. Trudeau |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2013-04-15 |
Genre | : Mathematics |
ISBN | : 0486318664 |
Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.
Author | : Robert Sims |
Publisher | : American Mathematical Soc. |
Total Pages | : 234 |
Release | : 2011-09-02 |
Genre | : Mathematics |
ISBN | : 0821868985 |
The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition. In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdos, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Gunter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school.
Author | : Claude E Shannon |
Publisher | : University of Illinois Press |
Total Pages | : 141 |
Release | : 1998-09-01 |
Genre | : Language Arts & Disciplines |
ISBN | : 025209803X |
Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.