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9780471438090

Applied Combinatorics, 4th Edition

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  • ISBN13:

    9780471438090

  • ISBN10:

    047143809X

  • Edition: 4th
  • Format: Paperback
  • Copyright: 2001-08-01
  • Publisher: Wiley
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Summary

Updated with new material, this"Fifth Edition" of the most widely used book in combinatorial problems explains how to reason and model combinatorically. It also stresses the systematic analysis of different possibilities, exploration of the logical structure of a problem, and ingenuity. Combinatorical reasoning underlies all analysis of computer systems. It plays a similar role in discrete operations research problems and in finite probability. This bookseeks to develop proficiency in basic discrete math problem solving in the way that a calculus text develops proficiency in basic analysis problem solving.

Table of Contents

GRAPH THEORY.
Elements of Graph Theory.
Covering Circuits and Graph Coloring.
Trees and Searching.
Network Algorithms.
ENUMERATION.
General Counting Methods for Arrangements and Selections.
Generating Functions.
Recurrence Relations.
Inclusion-- Exclusion.
ADDITIONAL TOPICS.
Polya's Enumeration Formula.
Games with Graphs.
Appendix 1: Set Theory.
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.

Supplemental Materials

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