Introductory Combinatorics
by Brualdi, Richard A.Edition: 4th
Format: Paperback
Pub. Date: 2004-01-01
Publisher(s): Prentice Hall
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Summary
This book emphasizes combinatorial ideas including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs). The volume provides a complete examination of combinatorial ideas and techniques. For individuals interested in combinatorial concepts.
Table of Contents
| What is Combinatorics? | |
| The Pigeonhole Principle | |
| Permutations and Combinations | |
| Generating Permutations and Combinations | |
| The Binomial Coefficients | |
| The Inclusion-Exclusion Principle and Applications | |
| Recurrence Relations and Generating Functions | |
| Special Counting Sequences | |
| Matchings in Bipartite Graphs | |
| Combinatorial Designs | |
| Introduction to Graph Theory | |
| Digraphs and Networks | |
| More on Graph Theory | |
| Polya Counting | |
| Answers and Hints to Exercises | |
| Bibliography | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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