text.skipToContent text.skipToNavigation
  1. Home
  2. Computer Science & IT
  3. Advanced Math
  4. Additional Advanced Math
  5. Introduction to Graph Theory (Classic Version)

Introduction to Graph Theory (Classic Version), 2nd edition

  • Douglas West

Published by Pearson (February 14th 2017) - Copyright © 2018

2nd edition

Introduction to Graph Theory (Classic Version)

ISBN-13: 9780131437371

Includes: Paperback
Free delivery
$79.99 $99.99

What's included

  • Paperback

    You'll get a bound printed text.

Overview

For undergraduate or graduate courses in Graph Theory in departments of mathematics or computer science.


This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles.


This text offers a comprehensive and coherent introduction to the fundamental topics of graph theory. It includes basic algorithms and emphasizes the understanding and writing of proofs about graphs. Thought-provoking examples and exercises develop a thorough understanding of the structure of graphs and the techniques used to analyze problems. The first seven chapters form the basic course, with advanced material in Chapter 8.

Table of contents



1. Fundamental Concepts.

What Is a Graph? Paths, Cycles, and Trails. Vertex Degrees and Counting. Directed Graphs.


2. Trees and Distance.

Basic Properties. Spanning Trees and Enumeration. Optimization and Trees.


3. Matchings and Factors.

Matchings and Covers. Algorithms and Applications. Matchings in General Graphs.


4. Connectivity and Paths.

Cuts and Connectivity. k-connected Graphs. Network Flow Problems.


5. Coloring of Graphs.

Vertex Colorings and Upper Bounds. Structure of k-chromatic Graphs. Enumerative Aspects.


6. Planar Graphs.

Embeddings and Euler's Formula. Characterization of Planar Graphs. Parameters of Planarity.


7. Edges and Cycles.

Line Graphs and Edge-Coloring. Hamiltonian Cycles. Planarity, Coloring, and Cycles.


8. Additional Topics (Optional).

Perfect Graphs. Matroids. Ramsey Theory. More Extremal Problems. Random Graphs. Eigenvalues of Graphs.


Appendix A: Mathematical Background.


Appendix B: Optimization and Complexity.


Appendix C: Hints for Selected Exercises.


Appendix D: Glossary of Terms.


Appendix E: Supplemental Reading.


Appendix F: References.


Indices.

For teachers

All the material you need to teach your courses.

Discover teaching material