Chromatic Graph Theory (Discrete Mathematics and Its Applications) - Hardcover

Chartrand, Gary; Zhang, Ping

Hardcover

ISBN 10: 1584888008 ISBN 13: 9781584888000

Publisher: Chapman and Hall/CRC, 2008

Synopsis

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.

About this title

Product Description

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.

Review

... 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.
―Zentralblatt MATH 1169

... 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.
―Miklós Bóna, University of Florida, MAA Online, January 2009

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2008
• ISBN 10: 1584888008
• ISBN 13: 9781584888000
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 498