Notes on Introductory Combinatorics - ISBN:3764331704

Notes on Introductory Combinatorics

Date: 11 April 2011, 21:16

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Table of Contents
1. Introduction 1
2. Combinations and Permutations 2
3. Generating Functions 11
4. Principle of Inclusion and Exclusion 32
5. Stirling Numbers 41
6. P6lya's Theory of Counting 55
7. Outlook 86
• 8. Midterm Examination 95
9. Ramsey Theory 116
10. Matchings (Stable Marriages) 128
11. Matchings (Maximum Matchings) 135
12. Network Flow 152
13. Hamiltonian and Eulerian Paths 157
14. Planarity and the Four-Color Theorem 169
15. Final Examination 182
16. Bibliography 191

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