<p>… The book is written in a student-friendly style with carefully explained proofs and examples and contains many exercises of varying difficulty. … The book is intended for standard courses in graph theory, reading courses and seminars on graph colourings, and as a reference book for individuals interested in graphs colourings.<br />—<em>Zentralblatt MATH</em> 1169</p><p>… well-conceived and well-written book … written in a reader-friendly style, and there is a sufficient number of exercises at the end of each chapter.<br />—Miklós Bóna, University of Florida, <em>MAA Online</em>, January 2009</p>

<p>… The book is written in a student-friendly style with carefully explained proofs and examples and contains many exercises of varying difficulty. … The book is intended for standard courses in graph theory, reading courses and seminars on graph colourings, and as a reference book for individuals interested in graphs colourings.<br />—<em>Zentralblatt MATH</em> 1169</p><p>… well-conceived and well-written book … written in a reader-friendly style, and there is a sufficient number of exercises at the end of each chapter.<br />—Miklós Bóna, University of Florida, <em>MAA Online</em>, January 2009</p>

Beginning with the origin of the four color problem in 1852, the field of graph colorings has developed into one of the most popular areas of graph theory. Introducing graph theory with a coloring theme, Chromatic Graph Theory explores connections between major topics in graph theory and graph colorings as well as emerging topics. This self-contained book first presents various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. The remainder of the text deals exclusively with graph colorings. It covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings, and many distance-related vertex colorings.With historical, applied, and algorithmic discussions, this text offers a solid introduction to one of the most popular areas of graph theory.
Les mer
Explores connections between major topics in graph theory and graph colorings. This book presents various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings.
Les mer
The Origin of Graph Colorings. Introduction to Graphs. Trees and Connectivity. Eulerian and Hamiltonian Graphs. Matchings and Factorization. Graph Embeddings. Introduction to Vertex Colorings. Bounds for the Chromatic Number. Coloring Graphs on Surfaces. Restricted Vertex Colorings. Edge Colorings of Graphs. Monochromatic and Rainbow Colorings. Complete Colorings. Distinguishing Colorings. Colorings, Distance, and Domination. Appendix. General References. Bibliography. Index. List of Symbols.
Les mer

Produktdetaljer

ISBN
9781584888000
Publisert
2008-09-22
Utgiver
Vendor
Chapman & Hall/CRC
Vekt
839 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
UU, UP, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
498

Om bidragsyterne

Western Michigan University, Kalamazoo, Michigan, USA Monmouth University, Middletown, New Jersey, USA