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by Alan Tucker

Edition: 4TH 02Copyright: 2002

Publisher: John Wiley & Sons, Inc.

Published: 2002

International: No

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The fourth edition of the most widely used book in combinatorial problem explains how to reason and model combinatorically and stresses the systematic analysis of different possibilities, exploration of the logical structure of a problem and ingenuity.

GRAPH THEORY.

Elements of Graph Theory.

Covering Circuits and Graph Coloring.

Trees and Searching.

Network Algorithms.

ENUMERATION.

Generating Counting Methods for Selections and Arrangements.

Generating Functions.

Recurrence Relations.

Inclusion--Exclusion.

ADDITIONAL TOPICS.

Polya's Enumeration Formula.

Games with Graphs.

Appendix 1: Set Theory and Logic.

Appendix 2: Mathematical Induction.

Appendix 3: A Little Probability.

Appendix 4: The Pigeonhole Principle.

Glossary of Counting and Graph.

Theory Terms.

Bibliography.

Solutions to Odd-Numbered Problems.

Index.

Summary

The fourth edition of the most widely used book in combinatorial problem explains how to reason and model combinatorically and stresses the systematic analysis of different possibilities, exploration of the logical structure of a problem and ingenuity.

Table of Contents

GRAPH THEORY.

Elements of Graph Theory.

Covering Circuits and Graph Coloring.

Trees and Searching.

Network Algorithms.

ENUMERATION.

Generating Counting Methods for Selections and Arrangements.

Generating Functions.

Recurrence Relations.

Inclusion--Exclusion.

ADDITIONAL TOPICS.

Polya's Enumeration Formula.

Games with Graphs.

Appendix 1: Set Theory and Logic.

Appendix 2: Mathematical Induction.

Appendix 3: A Little Probability.

Appendix 4: The Pigeonhole Principle.

Glossary of Counting and Graph.

Theory Terms.

Bibliography.

Solutions to Odd-Numbered Problems.

Index.

Publisher Info

Publisher: John Wiley & Sons, Inc.

Published: 2002

International: No

Published: 2002

International: No

GRAPH THEORY.

Elements of Graph Theory.

Covering Circuits and Graph Coloring.

Trees and Searching.

Network Algorithms.

ENUMERATION.

Generating Counting Methods for Selections and Arrangements.

Generating Functions.

Recurrence Relations.

Inclusion--Exclusion.

ADDITIONAL TOPICS.

Polya's Enumeration Formula.

Games with Graphs.

Appendix 1: Set Theory and Logic.

Appendix 2: Mathematical Induction.

Appendix 3: A Little Probability.

Appendix 4: The Pigeonhole Principle.

Glossary of Counting and Graph.

Theory Terms.

Bibliography.

Solutions to Odd-Numbered Problems.

Index.