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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

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.

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

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.

Distances and Domination in Graphs

Distances and Domination in Graphs PDF Author: Ismael González Yero
Publisher:
ISBN: 9783039435166
Category :
Languages : en
Pages : 146

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.

Domination in Graphs

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

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.

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

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.

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

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.

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

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."

Aspects of Distance and Domination in Graphs

Aspects of Distance and Domination in Graphs PDF Author: Vivienne Smithdorf
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 212

Book Description


Quantum Probability and Spectral Analysis of Graphs

Quantum Probability and Spectral Analysis of Graphs PDF Author: Akihito Hora
Publisher: Springer Science & Business Media
ISBN: 3540488634
Category : Science
Languages : en
Pages : 384

Book Description
This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.

Distance In Graphs

Distance In Graphs PDF Author: Fred Buckley
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 362

Book Description


Topics on Domination

Topics on Domination PDF Author: S.T. Hedetniemi
Publisher: Elsevier
ISBN: 9780080867885
Category : Mathematics
Languages : en
Pages : 277

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.