Domination in Graphs

Domination in Graphs PDF Author: TeresaW. Haynes
Publisher: Routledge
ISBN: 1351454641
Category : Mathematics
Languages : en
Pages : 519

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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.

Domination in Graphs

Domination in Graphs PDF Author: TeresaW. Haynes
Publisher: Routledge
ISBN: 1351454641
Category : Mathematics
Languages : en
Pages : 519

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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.

Total Domination in Graphs

Total Domination in Graphs PDF Author: Michael A. Henning
Publisher: Springer Science & Business Media
ISBN: 1461465257
Category : Mathematics
Languages : en
Pages : 184

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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.

Topics on Domination

Topics on Domination PDF Author: S.T. Hedetniemi
Publisher: Elsevier
ISBN: 008086788X
Category : Mathematics
Languages : en
Pages : 287

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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.

Topics in Domination in Graphs

Topics in Domination in Graphs PDF Author: Teresa W. Haynes
Publisher: Springer Nature
ISBN: 3030511170
Category : Mathematics
Languages : en
Pages : 545

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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.

Fundamentals of Domination in Graphs

Fundamentals of Domination in Graphs PDF Author: Teresa W. Haynes
Publisher: CRC Press
ISBN: 1482246589
Category : Mathematics
Languages : en
Pages : 465

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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."

Topics in Intersection Graph Theory

Topics in Intersection Graph Theory PDF Author: Terry A. McKee
Publisher: SIAM
ISBN: 9780898719802
Category : Mathematics
Languages : en
Pages : 213

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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.

Distances and Domination in Graphs

Distances and Domination in Graphs PDF Author: Ismael González Yero
Publisher: MDPI
ISBN: 3039435159
Category : Mathematics
Languages : en
Pages : 146

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Book Description
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.

Topics in Graph Theory

Topics in Graph Theory PDF Author: Wilfried Imrich
Publisher: CRC Press
ISBN: 1439865337
Category : Mathematics
Languages : en
Pages : 214

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Book Description
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,

Handbook of Research on Advanced Applications of Graph Theory in Modern Society

Handbook of Research on Advanced Applications of Graph Theory in Modern Society PDF Author: Pal, Madhumangal
Publisher: IGI Global
ISBN: 1522593829
Category : Computers
Languages : en
Pages : 615

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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.

Fractional Graph Theory

Fractional Graph Theory PDF Author: Edward R. Scheinerman
Publisher: Courier Corporation
ISBN: 0486292134
Category : Mathematics
Languages : en
Pages : 242

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Book Description
This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.