色彩グラフ理論（テキスト） Chromatic Graph Theory (Textbooks in Mathematics)

Chartrand, Gary/ Zhang, Ping

CRC Press（2019/11発売）

• 製本 Hardcover:ハードカバー版／ページ数 503 p.
• 言語 ENG
• 商品コード 9781138343863
• DDC分類 005.1

Full Description

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. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways.

The textbook also 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.

Features of the Second Edition:




The book can be used for a first course in graph theory as well as a graduate course



The primary topic in the book is graph coloring



The book begins with an introduction to graph theory so assumes no previous course



The authors are the most widely-published team on graph theory



Many new examples and exercises enhance the new edition

Contents

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