Chromatic Graph Theory

With Chromatic Graph Theory, Second Edition, the authors present 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.

Autorentext

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

Ping Zhang is a professor of mathematics at Western Michigan University.

The two have authored or co-authored many textbooks in mathematics and numerous research articles in graph theory. The authors publish several books on graph theory, including the best-selling Graphs and Diagraphs, Sixth Edition, CRC Press, the most widely-used introductory text for course in graph theory.

Klappentext

With Chromatic Graph Theory, Second Edition, the authors present 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.

Zusammenfassung
With Chromatic Graph Theory, Second Edition, the authors present 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.

Inhalt

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

Ramsey Theory

Monochromatic Ramsey Theory

Color Connection

Distance and Colorings

Domination and Colorings

Induced Colorings

The Four Color Theorem Revisited