Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Friday, March 16, 2012, 12:15 pm

Duration: 30 minutes

Location: CAB G61

Speaker: David Cimasoni (Université de Genève)

Counting perfect matchings on graphs

A perfect matching on a (finite) graph G is a choice of edges such that each vertex of G is adjacent to exactly one of these edges. In general, counting perfect matchings is very difficult, but I will explain how this can be done in polynomial time for graphs of a fixed genus. During the 30 minutes of the Mittagsseminar, I will probably have time only to review Kasteleyn's theory for planar graphs. In the Reading Seminar, I will then show how this can be extended to arbitrary graphs (of a fixed genus). This is joint work with Nicolai Reshetikhin.

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