Chromatic Graph Theory

by Gary Chartrand, Ping Zhang, Kenneth H. Rosen

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.

498 pages, Kindle Edition

First published January 1, 2008

About the author

Gary Theodore Chartrand is a professor emeritus of mathematics at Western Michigan University

Reviews

[Jessie · Rating 5 out of 5]

Definitely the textbook that has had the greatest influence on me; arguably one of the most influential books for me, period.