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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

17 votes

Non-enumerative proof that there are many derangements?

L. Lu and L. A. Szekely have successfully applied the Lopsided (i.e. Negative Dependency Graph) Lovasz Local Lemma to this problem. A negative dependency graph is as a dependency graph except that in …
Austin Mohr's user avatar
34 votes
18 answers
19k views

Interesting and accessible topics in graph theory

This summer, I will be teaching an introductory course in graph theory to talented high school seniors. The intent of the course is not to establish proficiency in graph theory, per se. Rather, I hope …