Topics In Domination In Graphs
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| Author | : TeresaW. Haynes |
| Publisher | : Routledge |
| Total Pages | : 519 |
| Release | : 2017-11-22 |
| Genre | : Mathematics |
| ISBN | : 1351454641 |
""Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more.
| Author | : Michael A. Henning |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 184 |
| Release | : 2014-07-08 |
| Genre | : Mathematics |
| ISBN | : 1461465257 |
Total Domination in Graphs gives a clear understanding of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and diameter-2-critical graphs. Several proofs are included in this text which enables readers to acquaint themselves with a toolbox of proof techniques and ideas with which to attack open problems in the field. This work is an excellent resource for students interested in beginning their research in this field. Additionally, established researchers will find the book valuable to have as it contains the latest developments and open problems.
| Author | : S.T. Hedetniemi |
| Publisher | : Elsevier |
| Total Pages | : 287 |
| Release | : 1991-02-01 |
| Genre | : Mathematics |
| ISBN | : 008086788X |
The contributions in this volume are divided into three sections: theoretical, new models and algorithmic. The first section focuses on properties of the standard domination number &ggr;(G), the second section is concerned with new variations on the domination theme, and the third is primarily concerned with finding classes of graphs for which the domination number (and several other domination-related parameters) can be computed in polynomial time.
| Author | : Teresa W. Haynes |
| Publisher | : CRC Press |
| Total Pages | : 465 |
| Release | : 2013-12-16 |
| Genre | : Mathematics |
| ISBN | : 1482246589 |
"Provides the first comprehensive treatment of theoretical, algorithmic, and application aspects of domination in graphs-discussing fundamental results and major research accomplishments in an easy-to-understand style. Includes chapters on domination algorithms and NP-completeness as well as frameworks for domination."
| Author | : Teresa W. Haynes |
| Publisher | : Springer Nature |
| Total Pages | : 545 |
| Release | : 2020-10-19 |
| Genre | : Mathematics |
| ISBN | : 3030511170 |
This volume comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The focus is on primary dominating sets such as paired domination, connected domination, restrained domination, dominating functions, Roman domination, and power domination. Additionally, surveys include known results with a sample of proof techniques for each parameter. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms; the second chapter provides an overview of models of domination from which the parameters are defined. The book is intended to provide a reference for established researchers in the fields of domination and graph theory and graduate students who wish to gain knowledge of the topics covered as well as an overview of the major accomplishments in the field and proof techniques used.
| Author | : Terry A. McKee |
| Publisher | : SIAM |
| Total Pages | : 213 |
| Release | : 1999-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719802 |
Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics.
| Author | : Ismael González Yero |
| Publisher | : MDPI |
| Total Pages | : 146 |
| Release | : 2020-11-18 |
| Genre | : Mathematics |
| ISBN | : 3039435159 |
This book presents a compendium of the 10 articles published in the recent Special Issue “Distance and Domination in Graphs”. The works appearing herein deal with several topics on graph theory that relate to the metric and dominating properties of graphs. The topics of the gathered publications deal with some new open lines of investigations that cover not only graphs, but also digraphs. Different variations in dominating sets or resolving sets are appearing, and a review on some networks’ curvatures is also present.
| Author | : Wilfried Imrich |
| Publisher | : CRC Press |
| Total Pages | : 219 |
| Release | : 2008-10-27 |
| Genre | : Mathematics |
| ISBN | : 1439865337 |
From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way,
| Author | : Pal, Madhumangal |
| Publisher | : IGI Global |
| Total Pages | : 615 |
| Release | : 2019-08-30 |
| Genre | : Computers |
| ISBN | : 1522593829 |
In the world of mathematics and computer science, technological advancements are constantly being researched and applied to ongoing issues. Setbacks in social networking, engineering, and automation are themes that affect everyday life, and researchers have been looking for new techniques in which to solve these challenges. Graph theory is a widely studied topic that is now being applied to real-life problems. The Handbook of Research on Advanced Applications of Graph Theory in Modern Society is an essential reference source that discusses recent developments on graph theory, as well as its representation in social networks, artificial neural networks, and many complex networks. The book aims to study results that are useful in the fields of robotics and machine learning and will examine different engineering issues that are closely related to fuzzy graph theory. Featuring research on topics such as artificial neural systems and robotics, this book is ideally designed for mathematicians, research scholars, practitioners, professionals, engineers, and students seeking an innovative overview of graphic theory.
| Author | : Ding-Zhu Du |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 206 |
| Release | : 2012-10-26 |
| Genre | : Business & Economics |
| ISBN | : 1461452422 |
The connected dominating set has been a classic subject studied in graph theory since 1975. Since the 1990s, it has been found to have important applications in communication networks, especially in wireless networks, as a virtual backbone. Motivated from those applications, many papers have been published in the literature during last 15 years. Now, the connected dominating set has become a hot research topic in computer science. In this book, we are going to collect recent developments on the connected dominating set, which presents the state of the art in the study of connected dominating sets. The book consists of 16 chapters. Except the 1st one, each chapter is devoted to one problem, and consists of three parts, motivation and overview, problem complexity analysis, and approximation algorithm designs, which will lead the reader to see clearly about the background, formulation, existing important research results, and open problems. Therefore, this would be a very valuable reference book for researchers in computer science and operations research, especially in areas of theoretical computer science, computer communication networks, combinatorial optimization, and discrete mathematics.
