Haynes Topics in Domination in Graphs

Topics in Domination in Graphs

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Beschreibung

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.


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.



Surveys include known results with sample proof techniques for each parameter Generally focuses on primary dominating sets Provides a reference for established researchers and graduate students

Autor*in

Teresa W. Haynes

Themen in »Topics in Domination in Graphs«

Domination Chain Independent Domination Total Domination Paired Domination Connected Domination Restrained Domination Dominating Functions Roman Domination Rainbow Domination Alliances in Graphs Vizing's Conjecture for Domination Parameters Power Domination Broadcast Domination Distance Domination Multiple domination

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Details

ISBN: 9783030511173
Verlag: Springer International Publishing
Erscheinung: 19.10.2020

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