- 503 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Chromatic Graph Theory
About This Book
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:
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- The book can be used for a first course in graph theory as well as a graduate course
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- The primary topic in the book is graph coloring
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- The book begins with an introduction to graph theory so assumes no previous course
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- The authors are the most widely-published team on graph theory
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- Many new examples and exercises enhance the new edition
Frequently asked questions
Information
Table of contents
- Cover
- Half Title
- Series Page
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- PREFACE TO THE SECOND EDITION
- List of Symbols
- 0. The Origin of Graph Colorings
- 1. Introduction to Graphs
- 2. Trees and Connectivity
- 3. Eulerian and Hamiltonian Graphs
- 4. Matchings and Factorization
- 5. Graph Embeddings
- 6. Introduction to Vertex Colorings
- 7. Bounds for the Chromatic Number
- 8. Coloring Graphs on Surfaces
- 9. Restricted Vertex Colorings
- 10. Edge Colorings
- 11. Ramsey Theory
- 12. Monochromatic Ramsey Theory
- 13. Color Connection
- 14. Distance and Colorings
- 15. Domination and Colorings
- 16. Induced Colorings
- 17. The Four Color Theorem Revisited
- Bibliography
- Index (Names and Mathematical Terms)