A First Course in Graph Theory

A First Course in Graph Theory

by Gary Chartrand, Ping Zhang
A First Course in Graph Theory

A First Course in Graph Theory

by Gary Chartrand, Ping Zhang

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Overview

This comprehensive text offers undergraduates a remarkably student-friendly introduction to graph theory. Written by two of the field's most prominent experts, it takes an engaging approach that emphasizes graph theory's history. Unique examples and lucid proofs provide a sound yet accessible treatment that stimulates interest in an evolving subject and its many applications.
Optional sections designated as "excursion" and "exploration" present interesting sidelights of graph theory and touch upon topics that allow students the opportunity to experiment and use their imaginations. Three appendixes review important facts about sets and logic, equivalence relations and functions, and the methods of proof. The text concludes with solutions or hints for odd-numbered exercises, in addition to references, indexes, and a list of symbols.

Product Details

ISBN-13: 9780486483689
Publisher: Dover Publications
Publication date: 02/15/2012
Series: Dover Books on Mathematics
Pages: 464
Product dimensions: 6.10(w) x 9.20(h) x 1.00(d)

About the Author

Gary Chartrand and Ping Zhang are Professors of Mathematics at Western Michigan University in Kalamazoo. Gary Chartrand is the author of several books on graph theory, including Dover's bestselling Introductory Graph Theory. Ping Zhang is the coauthor of several college-level books on graph theory and other areas of mathematics.

Table of Contents

1. Introduction
2. Degrees
3. Isomorphic Group
4. Trees
5. Connectivity
6. Traversability
7. Digraphs
8. Matchings and Factorization
9. Planarity
10. Coloring Graphs
11. Ramsy Numbers
12. Distance
13. Domination
Appendix 1
Appendix 2
Appendix 3
Solutions and Hints for Odd-Numbered Exercises
References
Index of Names
Index of Mathematical Terms
List of Symbols
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