
A Course in Combinatorics
by J. H. van Lint , R. M. WilsonBuy New
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Summary
Table of Contents
Preface | |
1. Graphs | |
2. Trees | |
3. Colorings of graphs and Ramsey's theorem | |
4. Turá | |
n's theorem and extremal graphs | |
5. Systems of distinct representatives | |
6. Dilworth's theorem and extremal set theory | |
7. Flows in networks | |
8. De Bruijn sequences | |
9. The addressing problem for graphs | |
10. The principle of inclusion and exclusion | |
inversion formulae | |
11. Permanents | |
12. The Van der Waerden conjecture | |
13. Elementary counting | |
Stirling numbers | |
14. Recursions and generating functions | |
15. Partitions | |
16. (0,1)-matrices | |
17. Latin squares | |
18. Hadamard matrices, Reed-Muller codes | |
19. Designs | |
20. Codes and designs | |
21. Strongly regular graphs and partial geometries | |
22. Orthogonal Latin squares | |
23. Projective and combinatorial geometries | |
24. Gaussian numbers and q-analogues | |
25. Lattices and Mö | |
bius inversion | |
26. Combinatorial designs and projective geometries | |
27. Difference sets and automorphisms | |
28. Difference sets and the group ring | |
29. Codes and symmetric designs | |
30. Association schemes | |
31. Algebraic graph theory: eigenvalue techniques | |
32. Graphs: planarity and duality | |
33. Graphs: colorings and embeddings | |
34. Electrical networks and squared squares | |
35. Pó | |
lya theory of counting | |
36. Baranyai's theorem | |
Appendices | |
Name index | |
Subject index. |
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