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

Date and Time: Tuesday, February 25, 2014, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Wenying Gan

Maximize the number of independent sets of a fixed size

Let i_t(G) be the number of independent sets of size t in a graph G. Engbers and Galvin asked how large i_t(G) could be in graphs with minimum degree at least δ. They further conjectured that when n≥ 2δ and t≥ 3, i_t(G) is maximized by the complete bipartite graph K_{δ, n-δ} . This conjecture has drawn the attention of many researchers recently. In this talk, we prove this conjecture.
Joint work with Po-Shen Loh and Benny Sudakov.

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