Graphs and Their Uses

Oystein Ore; Robin J. Wilson

doi:10.5948/UPO9780883859490

In 1963 Oystein Ore wrote this classic volume, which was published in the New Mathematical Library Series. This elegant book has provided students and teachers with an excellent introduction to the field of graph theory for close to thirty years. Robin Wilson's revision adds strength to the book by updating the terminology and notation, bringing them in line with contemporary usage. Wilson has added new material on interval graphs, the traveling salesman problem, bracing frameworks, shortest route problems, and coloring maps on surfaces. Most of the diagrams in the book have been redrawn.

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Graphs and Their Uses

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

Introduction
pp 3-4

Chapter 1 - What Is a Graph?
pp 5-23

Chapter 2 - Connected Graphs
pp 24-36

Chapter 3 - Trees
pp 37-52

Chapter 4 - Matchings
pp 53-62

Chapter 5 - Directed Graphs
pp 63-82

Chapter 6 - Questions Concerning Games and Puzzles
pp 83-94

Chapter 7 - Relations
pp 95-108

Chapter 8 - Planar Graphs
pp 109-124

Chapter 9 - Map Coloring
pp 125-135

Solutions
pp 136-145

Bibliography
pp 146-147

Glossary
pp 148-150

Index
pp 151-153

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Graphs and Their Uses

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