Introduction to Graph Theory

Front Cover
Prentice Hall, 2001 - Mathematics - 588 pages
3 Reviews

This book fills a need for a thorough introduction to graph theory that features both the understanding and writing of proofs about graphs. Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer science.

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Best Book on Graph Theory. Covers all topics, and has deep explanation to everything. Don't pay any heed to the other comment. You can always learn anything by yourself!

Contents

Fundamental Concepts
1
Trees and Distance
67
Matchings and Factors
107
Connectivity and Paths
149
Coloring of Graphs
191
Planar Graphs
233
Edges and Cycles
273
Additional Topics optional
319
Appendix A Mathematical Background
471
Appendix B Optimization and Complexity
493
Hints for Selected Exercises
507
Glossary of Terms
515
Appendix E Supplemental Reading
533
Author Index
569
Subject Index
575
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