Topics in Domination in Graphs PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Topics in Domination in Graphs PDF full book. Access full book title Topics in Domination in Graphs by Teresa W. Haynes. Download full books in PDF and EPUB format.
Author: Teresa W. Haynes
Publisher: Springer Nature
ISBN: 3030511170
Category : Mathematics
Languages : en
Pages : 545
Get Book Here
Book Description
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: Teresa W. Haynes
Publisher: Springer Nature
ISBN: 3030511170
Category : Mathematics
Languages : en
Pages : 545
Get Book Here
Book Description
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: TeresaW. Haynes
Publisher: Routledge
ISBN: 1351454641
Category : Mathematics
Languages : en
Pages : 519
Get Book Here
Book Description
""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: S.T. Hedetniemi
Publisher: Elsevier
ISBN: 008086788X
Category : Mathematics
Languages : en
Pages : 287
Get Book Here
Book Description
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: Michael A. Henning
Publisher: Springer Science & Business Media
ISBN: 1461465257
Category : Mathematics
Languages : en
Pages : 184
Get Book Here
Book Description
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: Teresa W. Haynes
Publisher: CRC Press
ISBN: 1482246589
Category : Mathematics
Languages : en
Pages : 465
Get Book Here
Book Description
"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: Mohammed Taghi Hajiaghayi
Publisher: Springer
ISBN: 3319286781
Category : Computers
Languages : en
Pages : 192
Get Book Here
Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the First IFIP WG 1.8 International Conference on Topics in Theoretical Computer Science, held in Tehran, Iran, in August 2015. The 10 full papers presented together with 3 invited talks were carefully reviewed and selected from 48 submissions. The papers feature novel and high-quality research in all areas of theoretical computer science.
Author: Danielle Allen
Publisher: University of Chicago Press
ISBN: 022668122X
Category : Political Science
Languages : en
Pages : 366
Get Book Here
Book Description
Around the globe, democracy appears broken. With political and socioeconomic inequality on the rise, we are faced with the urgent question of how to better distribute power, opportunity, and wealth in diverse modern societies. This volume confronts the dilemma head-on, exploring new ways to combat current social hierarchies of domination. Using examples from the United States, India, Germany, and Cameroon, the contributors offer paradigm-changing approaches to the concepts of justice, identity, and social groups while also taking a fresh look at the idea that the demographic make-up of institutions should mirror the make-up of a populace as a whole. After laying out the conceptual framework, the volume turns to a number of provocative topics, among them the pernicious tenacity of implicit bias, the logical contradictions inherent to the idea of universal human dignity, and the paradoxes and problems surrounding affirmative action. A stimulating blend of empirical and interpretive analyses, Difference without Domination urges us to reconsider the idea of representation and to challenge what it means to measure equality and inequality.
Author: Boštjan Brešar
Publisher: Springer Nature
ISBN: 3030690873
Category : Mathematics
Languages : en
Pages : 131
Get Book Here
Book Description
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.
Author: Terry A. McKee
Publisher: SIAM
ISBN: 9780898719802
Category : Mathematics
Languages : en
Pages : 213
Get Book Here
Book Description
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: Pal, Madhumangal
Publisher: IGI Global
ISBN: 1522593829
Category : Computers
Languages : en
Pages : 615
Get Book Here
Book Description
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.
