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Titlebook: Structures of Domination in Graphs; Teresa W. Haynes,Stephen T. Hedetniemi,Michael A. Book 2021 The Editor(s) (if applicable) and The Aut

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发表于 2025-3-21 17:48:05 | 显示全部楼层 |阅读模式
书目名称Structures of Domination in Graphs
编辑Teresa W. Haynes,Stephen T. Hedetniemi,Michael A.
视频video
概述Surveys include known results with sample proof techniques for each parameter.Provides a reference for established researchers and graduate students.First chapter includes a glossary of commonly used
丛书名称Developments in Mathematics
图书封面Titlebook: Structures of Domination in Graphs;  Teresa W. Haynes,Stephen T. Hedetniemi,Michael A.  Book 2021 The Editor(s) (if applicable) and The Aut
描述.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. ..
出版日期Book 2021
关键词Domination Frameworks; Irredundance; Alliances in Graphs; Stratified Domination; Strong and weak dominat
版次1
doihttps://doi.org/10.1007/978-3-030-58892-2
isbn_softcover978-3-030-58894-6
isbn_ebook978-3-030-58892-2Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Alliances and Related Domination ParametersAlliances in graphs were defined to model real-life applications, where an agreement exists between two or more parties to work together for the common good. In this chapter, we explore alliances and related domination parameters.
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Domination and Spectral Graph TheorySpectral graph theory studies graphs through the eigenvalues and eigenvectors of matrices associated with them. In this chapter we show how . parameters have appeared in spectral graph theory, including the domination number ., the total domination number .., and the signed domination number ...
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Domination in ChessboardsThis chapter contains a survey of results that have been obtained on domination, independent domination, irredundance, and total domination in chessboard graphs, such as queens, kings, bishops, knights, and rooks graphs.
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Teresa W. Haynes,Stephen T. Hedetniemi,Michael A. Surveys include known results with sample proof techniques for each parameter.Provides a reference for established researchers and graduate students.First chapter includes a glossary of commonly used
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https://doi.org/10.1007/978-3-030-58892-2Domination Frameworks; Irredundance; Alliances in Graphs; Stratified Domination; Strong and weak dominat
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