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Introductory Combinatorics

✍ Scribed by Kenneth P. Bogart


Publisher
Brooks Cole
Year
2000
Tongue
English
Leaves
673
Edition
3rd
Category
Library

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✦ Synopsis


Focusing on the core material of value to students in a wide variety of fields, this book presents a broad comprehensive survey of modern combinatorics at an introductory level. The author begins with an introduction of concepts fundamental to all branches of combinatorics in the context of combinatorial enumeration. Chapter 2 is devoted to enumeration problems that involve counting the number of equivalence classes of an equivalence relation. Chapter 3 discusses somewhat less direct methods of enumeration, the principle of inclusion and exclusion and generating functions. The remainder of the book is devoted to a study of combinatorial structures.

✦ Table of Contents


Cover......Page bogart_cover.djvu
Front Matter......Page _004.djvu
Preface......Page _005.djvu
Contents......Page _013.djvu
1 An Introduction to Enumeration ......Page 001.djvu
2 Equivalence Relations, Partitions, and Multisets ......Page 069.djvu
3 Algebraic Counting Techniques ......Page 119.djvu
4 Graph Theory ......Page 200.djvu
5 Matching and Optimization......Page 291.djvu
6 Combinatorial Designs ......Page 359.djvu
7 Ordered Sets ......Page 442.djvu
8 Enumeration under Group Action ......Page 532.djvu
Answers to Exercises ......Page 581.djvu
Index ......Page 642.djvu


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