Applied Combinatorics

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Applied Combinatorics
Preliminary Edition
February 15, 2015
Mitchel T. Keller Washington & Lee University William T. Trotter Georgia Institute of Technology

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关键词：Applied Tori appl RICS App University

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Summary of Contents
1 An Introduction to Combinatorics 1
2 Strings, Sets, and Binomial Coefficients 15
3 Induction 37
4 Combinatorial Basics 55
5 Graph Theory 65
6 Partially Ordered Sets 105
7 Inclusion-Exclusion 131
8 Generating Functions 147
9 Recurrence Equations 165
10 Probability 193
11 Applying Probability to Combinatorics 209
12 Graph Algorithms 217
13 Network Flows 235
14 Combinatorial Applications of Network Flows 253
15 Pólya’s Enumeration Theorem 265
16 The Many Faces of Combinatorics 287

looking forward to the final version ..

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