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Applied Combinatorics. 6th Edition
John Wiley and Sons Ltd, March 2012, Pages: 496
Alan Tucker's newest issue of Applied Combinatorics builds on the previous editions with more in depth analysis of computer systems in order to help develop proficiency in basic discrete math problem solving. As one of the most widely used book in combinatorial problems, this edition explains how to reason and model combinatorically while stressing the systematic analysis of different possibilities, exploration of the logical structure of a problem, and ingenuity.
Part One: Graph Theory.
Chapter 1: Elements of Graph Theory.
Chapter 2: Covering Circuits and Graph coloring.
Chapter 3: Trees and Searching.
Chapter 4: Network Algorithms.
Part Two: Enumeration.
Chapter 5: General Counting Methods for Arrangements and Selections.
Chapter 6: Generating Functions.
Chapter 7: Recurrence Relations.
Chapter 8: Inclusion-Exclusion.
Part Three: Additional Topics.
Chapter 9: Polya's Enumeration Formula.
Chapter 10: Games with Grapes.
Alan Tucker State Univ. of New York at Stony Brook.