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Studies In Graph Theory Support Domination In Graphs And Related Concepts
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Book Synopsis Studies in Graph Theory: Support Domination in Graphs and Related Concepts by : C. Y. Ponnappan
Download or read book Studies in Graph Theory: Support Domination in Graphs and Related Concepts written by C. Y. Ponnappan and published by Archers & Elevators Publishing House. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structures of Domination in Graphs by : Teresa W. Haynes
Download or read book Structures of Domination in Graphs written by Teresa W. Haynes and published by Springer Nature. This book was released on 2021-05-04 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises 17 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The book is divided into 3 parts. The first part focuses on several domination-related concepts: broadcast domination, alliances, domatic numbers, dominator colorings, irredundance in graphs, private neighbor concepts, game domination, varieties of Roman domination and spectral graph theory. The second part covers domination in hypergraphs, chessboards, and digraphs and tournaments. The third part focuses on the development of algorithms and complexity of signed, minus and majority domination, power domination, and alliances in graphs. The third part also includes a chapter on self-stabilizing algorithms. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms. 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 and proof techniques used in the field.
Book Synopsis Fundamentals of Domination in Graphs by : Teresa W. Haynes
Download or read book Fundamentals of Domination in Graphs written by Teresa W. Haynes and published by CRC Press. This book was released on 2013-12-16 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."
Book Synopsis Topics in Domination in Graphs by : Teresa W. Haynes
Download or read book Topics in Domination in Graphs written by Teresa W. Haynes and published by Springer Nature. This book was released on 2020-10-19 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topics on Domination by : S.T. Hedetniemi
Download or read book Topics on Domination written by S.T. Hedetniemi and published by Elsevier. This book was released on 1991-02-01 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Domination in Graphs by : TeresaW. Haynes
Download or read book Domination in Graphs written by TeresaW. Haynes and published by Routledge. This book was released on 2017-11-22 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""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.
Download or read book Graph Theory written by Ralucca Gera and published by Springer. This book was released on 2018-10-26 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume in a two-volume series provides an extensive collection of conjectures and open problems in graph theory. It is designed for both graduate students and established researchers in discrete mathematics who are searching for research ideas and references. Each chapter provides more than a simple collection of results on a particular topic; it captures the reader’s interest with techniques that worked and failed in attempting to solve particular conjectures. The history and origins of specific conjectures and the methods of researching them are also included throughout this volume. Students and researchers can discover how the conjectures have evolved and the various approaches that have been used in an attempt to solve them. An annotated glossary of nearly 300 graph theory parameters, 70 conjectures, and over 600 references is also included in this volume. This glossary provides an understanding of parameters beyond their definitions and enables readers to discover new ideas and new definitions in graph theory. The editors were inspired to create this series of volumes by the popular and well-attended special sessions entitled “My Favorite Graph Theory Conjectures,” which they organized at past AMS meetings. These sessions were held at the winter AMS/MAA Joint Meeting in Boston, January 2012, the SIAM Conference on Discrete Mathematics in Halifax in June 2012, as well as the winter AMS/MAA Joint Meeting in Baltimore in January 2014, at which many of the best-known graph theorists spoke. In an effort to aid in the creation and dissemination of conjectures and open problems, which is crucial to the growth and development of this field, the editors invited these speakers, as well as other experts in graph theory, to contribute to this series.
Book Synopsis From Domination to Coloring by : Gary Chartrand
Download or read book From Domination to Coloring written by Gary Chartrand and published by Springer Nature. This book was released on 2019-10-16 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is in honor of the 80th birthday of Stephen Hedetniemi. It describes advanced material in graph theory in the areas of domination, coloring, spanning cycles and circuits, and distance that grew out of research topics investigated by Stephen Hedetniemi. The purpose of this book is to provide background and principal results on these topics, along with same related problems and conjectures, for researchers in these areas. The most important features deal with material, results, and problems that researchers may not be aware of but may find of interest. Each chapter contains results, methods and information that will give readers the necessary background to investigate each topic in more detail.
Book Synopsis Recent Advancements in Graph Theory by : N. P. Shrimali
Download or read book Recent Advancements in Graph Theory written by N. P. Shrimali and published by CRC Press. This book was released on 2020-11-09 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory is a branch of discrete mathematics. It has many applications to many different areas of Science and Engineering. This book provides the most up-to-date research findings and applications in Graph Theory. This book focuses on the latest research in Graph Theory. It provides recent findings that are occurring in the field, offers insights on an international and transnational levels, identifies the gaps in the results, and includes forthcoming international studies and research, along with its applications in Networking, Computer Science, Chemistry, and Biological Sciences, etc. The book is written with researchers and post graduate students in mind.
Book Synopsis Distances and Domination in Graphs by : Ismael González Yero
Download or read book Distances and Domination in Graphs written by Ismael González Yero and published by MDPI. This book was released on 2020-11-18 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Research Trends in Graph Theory and Applications by : Daniela Ferrero
Download or read book Research Trends in Graph Theory and Applications written by Daniela Ferrero and published by Springer Nature. This book was released on 2021-09-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Workshop for Women in Graph Theory and Applications was held at the Institute for Mathematics and Its Applications (University of Minnesota, Minneapolis) on August 19-23, 2019. During this five-day workshop, 42 participants performed collaborative research, in six teams, each focused on open problems in different areas of graph theory and its applications. The research work of each team was led by two experts in the corresponding area, who prior to the workshop, carefully selected relevant and meaningful open problems that would yield high-quality research and results of strong impact. As a result, all six teams have made significant contributions to several open problems in their respective areas. The workshop led to the creation of the Women in Graph Theory and Applications Research Collaboration Network, which provided the framework to continue collaborating and to produce this volume. This book contains six chapters, each of them on one of the different areas of research at the Workshop for Women in Graph Theory and Applications, and written by participants of each team.
Book Synopsis Total Domination in Graphs by : Michael A. Henning
Download or read book Total Domination in Graphs written by Michael A. Henning and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fractional Graph Theory by : Edward R. Scheinerman
Download or read book Fractional Graph Theory written by Edward R. Scheinerman and published by Wiley-Interscience. This book was released on 1997-09-08 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Both authors are excellent expositors-exceptionally so-and this makes for a pleasurable read and allows for clear understanding of the mathematical concepts." -Joel Spencer Fractional Graph Theory explores the various ways in which integer-valued graph theory concepts can be modified to derive nonintegral values. Based on the authors' extensive review of the literature, it provides a unified treatment of the most important results in the study of fractional graph concepts. Professors Scheinerman and Ullman begin by developing a general fractional theory of hypergraphs and move on to provide in-depth coverage of fundamental and advanced topics, including fractional matching, fractional coloring, and fractional edge coloring; fractional arboricity via matroid methods; and fractional isomorphism. The final chapter is devoted to a variety of additional issues, such as fractional topological graph theory, fractional cycle double covers, fractional domination, fractional intersection number, and fractional aspects of partially ordered sets. Supplemented with many challenging exercises in each chapter as well as an abundance of references and bibliographic material, Fractional Graph Theory is a comprehensive reference for researchers and an excellent graduate-level text for students of graph theory and linear programming.
Book Synopsis Connected Dominating Set: Theory and Applications by : Ding-Zhu Du
Download or read book Connected Dominating Set: Theory and Applications written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Graph Theory written by B Andrasfai and published by CRC Press. This book was released on 1991-01-01 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory: Flows, Matrices covers a number of topics in graph theory that are important in the major areas of application. It provides graph theoretic tools that can be readily and efficiently applied to problems in operational research, computer science, electrical engineering, and economics. Emphasizing didactic principles, the book derives theorems and proofs from a detailed analysis of the structure of graphs. The easy-to-follow algorithms can be readily converted to computer codes in high-level programming languages. Requiring knowledge of the basic concepts of graph theory and a familiarity with some simple results, the book also includes 100 exercises with solutions to help readers gain experience and 131 diagrams to aid in the understanding of concepts and proofs.
Download or read book Graph Theory written by Ralucca Gera and published by Springer. This book was released on 2016-10-19 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening. Each chapter, presented in a story-telling style, includes more than a simple collection of results on a particular topic. Each contribution conveys the history, evolution, and techniques used to solve the authors’ favorite conjectures and open problems, enhancing the reader’s overall comprehension and enthusiasm. The editors were inspired to create these volumes by the popular and well attended special sessions, entitled “My Favorite Graph Theory Conjectures," which were held at the winter AMS/MAA Joint Meeting in Boston (January, 2012), the SIAM Conference on Discrete Mathematics in Halifax (June,2012) and the winter AMS/MAA Joint meeting in Baltimore(January, 2014). In an effort to aid in the creation and dissemination of open problems, which is crucial to the growth and development of a field, the editors requested the speakers, as well as notable experts in graph theory, to contribute to these volumes.
