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Domination In Graphs Core Concepts
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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 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 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.
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 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 Domination Games Played on Graphs by : Boštjan Brešar
Download or read book Domination Games Played on Graphs written by Boštjan Brešar and published by Springer Nature. This book was released on 2021-04-15 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise monograph present the complete history of the domination game and its variants up to the most recent developments and will stimulate research on closely related topics, establishing a key reference for future developments. The crux of the discussion surrounds new methods and ideas that were developed within the theory, led by the imagination strategy, the Continuation Principle, and the discharging method of Bujtás, to prove results about domination game invariants. A toolbox of proof techniques is provided for the reader to obtain results on the domination game and its variants. Powerful proof methods such as the imagination strategy are presented. The Continuation Principle is developed, which provides a much-used monotonicity property of the game domination number. In addition, the reader is exposed to the discharging method of Bujtás. The power of this method was shown by improving the known upper bound, in terms of a graph's order, on the (ordinary) domination number of graphs with minimum degree between 5 and 50. The book is intended primarily for students in graph theory as well as established graph theorists and it can be enjoyed by anyone with a modicum of mathematical maturity. The authors include exact results for several families of graphs, present what is known about the domination game played on subgraphs and trees, and provide the reader with the computational complexity aspects of domination games. Versions of the games which involve only the “slow” player yield the Grundy domination numbers, which connect the topic of the book with some concepts from linear algebra such as zero-forcing sets and minimum rank. More than a dozen other related games on graphs and hypergraphs are presented in the book. In all these games there are problems waiting to be solved, so the area is rich for further research. The domination game belongs to the growing family of competitive optimization graph games. The game is played by two competitors who take turns adding a vertex to a set of chosen vertices. They collaboratively produce a special structure in the underlying host graph, namely a dominating set. The two players have complementary goals: one seeks to minimize the size of the chosen set while the other player tries to make it as large as possible. The game is not one that is either won or lost. Instead, if both players employ an optimal strategy that is consistent with their goals, the cardinality of the chosen set is a graphical invariant, called the game domination number of the graph. To demonstrate that this is indeed a graphical invariant, the game tree of a domination game played on a graph is presented for the first time in the literature.
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 Accurate Independent Domination in Graphs by : B.Basavanagoud
Download or read book Accurate Independent Domination in Graphs written by B.Basavanagoud and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we initiate a study of this new parameter and obtain some results concerning this parameter.
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 On the Move to Meaningful Internet Systems: OTM 2011 by : Robert Meersman
Download or read book On the Move to Meaningful Internet Systems: OTM 2011 written by Robert Meersman and published by Springer. This book was released on 2011-10-30 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 7044 and 7045 constitutes the refereed proceedings of three confederated international conferences: Cooperative Information Systems (CoopIS 2011), Distributed Objects and Applications - Secure Virtual Infrastructures (DOA-SVI 2011), and Ontologies, DataBases and Applications of SEmantics (ODBASE 2011) held as part of OTM 2011 in October 2011 in Hersonissos on the island of Crete, Greece. The 55 revised full papers presented were carefully reviewed and selected from a total of 141 submissions. The 28 papers included in the second volume constitute the proceedings of DOA-SVI 2011 with 15 full papers organized in topical sections on performance measurement and optimization, instrumentation, monitoring, and provisioning, quality of service, security and privacy, and models and methods, and ODBASE 2011 with 9 full papers organized in topical sections on acquisition of semantic information, use of semantic information, and reuse of semantic information and 4 short papers.
Book Synopsis Key Concepts in Graph Theory by : Jen Blackwood
Download or read book Key Concepts in Graph Theory written by Jen Blackwood and published by . This book was released on 2015-01-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces key concepts in graph theory, which is considered to be a crucial analytical tool in computer science and mathematics. Due to the built-in simplicity of graph theory, it can be employed to model several distinct physical and abstract systems like transportation and communication networks, models for business administration, psychology, and political science and so on. The aim of this book is not just to describe the present state and development tendencies of this theory, but to educate the reader enough to enable him/her to embark on the research complications of their own. Taking into consideration the huge amount of knowledge regarding graph theory and its practice, this book focuses on the applications of graph theory in future electric networks, power systems, algorithms and communication networks. This book intends to serve as a valuable source of reference for students associated with various fields like system sciences, engineering, social sciences, mathematics, computer sciences, etc. as well as for practitioners and software professionals.
Book Synopsis Domination in Graphs Theory and Applications by : Manju Raju
Download or read book Domination in Graphs Theory and Applications written by Manju Raju and published by Independent Author. This book was released on 2023-02-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter we collect some basic definitions and the-orems on graphs and hypergraphs which are needed for the subse-quent chapters. For graph theoretic terminology we refer to Chartrand and Lesniak [8] and for hypergraphs, we basically use the terminology of Berge [4, 5]. In Section 1.2 we give a brief outline of the basic definitions in graph theory and present the concept of minimal and maximal P-sets, where Pis a graph theoretic property concerning subsets of the vertex set V. In Section 1.3 we give a brief outline of the basic definitions in hypergraph theory, and in section 1.4 we present the fundamentals of domination in graphs and list some of the theo-rems that we use in subsequent chapters. In Section 1.5 we deal with algorithmic aspects, complexity results and NP-completeness. In Section 1.6 we present an overview of the organization of the remaining chapters of the book.
Book Synopsis Graph-Theoretic Concepts in Computer Science by : Andreas Brandstädt
Download or read book Graph-Theoretic Concepts in Computer Science written by Andreas Brandstädt and published by Springer Science & Business Media. This book was released on 2007-12-12 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 33rd International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2007, held in Dornburg, Germany, in June 2007. The 30 revised full papers presented together with one invited paper were carefully selected from 99 submissions. The papers feature original results on all aspects of graph-theoretic concepts in Computer Science, including structural graph theory, graph-based modeling, and graph-drawing.
Book Synopsis Graph-Theoretic Concepts in Computer Science by : Juraj Hromkovič
Download or read book Graph-Theoretic Concepts in Computer Science written by Juraj Hromkovič and published by Springer. This book was released on 2005-01-25 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: During its 30-year existence, the International Workshop on Graph-Theoretic Concepts in Computer Science has become a distinguished and high-quality computer science event. The workshop aims at uniting theory and practice by demonstrating how graph-theoretic concepts can successfully be applied to v- ious areas of computer science and by exposing new theories emerging from applications. In this way, WG provides a common ground for the exchange of information among people dealing with several graph problems and working in various disciplines. Thereby, the workshop contributes to forming an interdis- plinary research community. The original idea of the Workshop on Graph-Theoretic Concepts in C- puter Science was ingenuity in all theoretical aspects and applications of graph concepts, wherever applied. Within the last ten years, the development has strengthened in particular the topic of structural graph properties in relation to computational complexity. This workshop has become pivotal for the c- munity interested in these areas.An aimspeci?c to the 30thWG was to support the central role of WG in both of the prementioned areas on the one hand and on the other hand to promote its originally broader scope. The 30th WG was held at the Physikzentrum Bad Honnef, which serves as the main meeting point of the German Physical Society. It o?ers a secluded setting for research conferences, seminars, and workshops, and has proved to be especiallystimulatingforfruitful discussions.Talksweregiveninthenewlecture hall with a modern double rear projection, interactive electronic board, and full video conferencing equipment.
