Synopsis
1. Introduction.- 2. Combinations and Permutations.- 3. Generating Functions.- 4. Principle of Inclusion and Exclusion.- 5. Stirling Numbers.- 6. Pólya's Theory of Counting.- 7. Outlook.- 8. Midterm Examination.- 9. Ramsey Theory.- 10. Matchings (Stable Marriages).- 11. Matchings (Maximum Matchings).- 12. Network Flow.- 13. Hamiltonian and Eulerian Paths.- 14. Planarity and the Four-Color Theorem.- 15. Final Examination.- 16. Bibliography.
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