From Domination to Coloring: Stephen Hedetniemi's Graph Theory and Beyond

by Gary Chartrand, Teresa W. Haynes, Michael A. Henning, Ping Zhang

Overview

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.

Product Details

ISBN-13:	9783030311094
Publisher:	Springer International Publishing
Publication date:	10/17/2019
Series:	SpringerBriefs in Mathematics
Edition description:	1st ed. 2019
Pages:	94
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

1. Pioneer of Domination in Graphs.- 2. Key Domination Parameters.- 3. Dominating Functions.- 4. Domination-Related Parameters and Applications.- 5. Distance-Defined Subgraphs.- 6. Eulerian and Hamiltonian Walks.- 7. Complete Colorings.- 8. Color Connection and Disconnection.

Editorial 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)

From the Publisher