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From Domination to Coloring

Stephen Hedetniemi's Graph Theory and Beyond

  • Book
  • © 2019

Overview

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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Table of contents (8 chapters)

Keywords

About this book

This book is in honor of the 80th birthday of Stephen Hedetniemi. It describes advanced material in graph theory in the areas of domination, coloring, spanning cycles and circuits, and distance that grew out of research topics investigated by Stephen Hedetniemi. The purpose of this book is to provide background and principal results on these topics, along with same related problems and conjectures, for researchers in these areas. The most important features deal with material, results, and problems that researchers may not be aware of but may find of interest. Each chapter contains results, methods and information that will give readers the necessary background to investigate each topic in more detail.

Reviews

“All the compliments to the authors for such a marvelous idea. … The most of the text is written in a survey style with some included proofs. … Most of results presented in the book are bounds on several invariants or parameters connected with previously mentioned terms with respect to the order of a graph.” (Iztok Peterin, zbMATH 1470.05001, 2021)

Authors and Affiliations

  • Department of Mathematics, Western Michigan University, Kalamazoo, USA

    Gary Chartrand, Ping Zhang

  • Department of Mathematics, East Tennessee State University, Johnson City, USA

    Teresa W. Haynes

  • Department of Mathematics, University of Johannesburg, Johannesburg, South Africa

    Michael A. Henning

Bibliographic Information

  • Book Title: From Domination to Coloring

  • Book Subtitle: Stephen Hedetniemi's Graph Theory and Beyond

  • Authors: Gary Chartrand, Teresa W. Haynes, Michael A. Henning, Ping Zhang

  • Series Title: SpringerBriefs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-31110-0

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

  • Softcover ISBN: 978-3-030-31109-4Published: 28 October 2019

  • eBook ISBN: 978-3-030-31110-0Published: 16 October 2019

  • Series ISSN: 2191-8198

  • Series E-ISSN: 2191-8201

  • Edition Number: 1

  • Number of Pages: X, 94

  • Number of Illustrations: 42 b/w illustrations, 7 illustrations in colour

  • Topics: Graph Theory

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