Combinatorics: topics, techniques, algorithms
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Description
Preface 1. What is combinatorics? 2. On numbers and counting 3. Subsets, partitions, permutations 4. Recurrence relations and generating functions 5. The principle of inclusion and exclusion 6. Latin squares and SDRs 7. Extremal set theory 8. Steiner triple theory 9. Finite geometry 10. Ramsey's theorem 11. Graphs 12. Posets, lattices and matroids 13. More on partitions and permutations 14. Automorphism groups and permutation groups 15. Enumeration under group action 16. Designs 17. Error-correcting codes 18. Graph colourings 19. The infinite 20. Where to from here? Answers to selected exercises Bibliography Index.
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