Counting Connected Graphs

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Event details

Date 10.10.2016
Hour 17:1518:30
Speaker Prof. Joel Spencer,  New York University
Location
Category Conferences - Seminars
Let C(n,k) be the number of labelled connected graphs with n vertices and n-1+k edges. For k=0 (trees) we have Cayley's Formula. We examine the asymptotics of C(n,k). There are several ranges depending on the asymptotic relationship between n and k. The appoaches are a virtual cornucopia of modern probabilistic techniques. These include supercritical dominant components in random graphs, local limit laws, Brownian excursions, Parkingf unctions and more.

Practical information

  • General public
  • Free

Organizer

  • Prof. Clément Hongler

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