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Combinatorics is an upper-level introductory course in enumeration, graph theory, and design theory. Table of Contents:  Chapter 1. What is Combinatorics?  Part I. Enumeration Chapter 2. Basic Counting Techniques  Chapter 3. Permutations, Combinations, and the Binomial Theorem  Chapter 4. Bijections and Combinatorial Proofs Chapter 5. Counting with Repetitions  Chapter 6. Induction and Recursion  Chapter 7. Generating Functions  Chapter 8. Generating Functions and Recursion Chapter 9. Some Important Recursively-Defined Sequences  Chapter 10. Other Basic Counting Techniques  Part II. Graph Theory Chapter 11. Basics of Graph Theory  Chapter 12. Moving through graphs  Chapter 13. Euler and Hamilton  Chapter 14. Graph Colouring  Chapter 15. Planar graphs  Part III. Design Theory Chapter 16.... Show More


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