Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, November 30, 2017, 12:15 pm

Duration: 45 minutes

Location: OAT S15/S16/S17

Speaker: Charlotte Knierim

Clique coloring of dense random graphs

The clique chromatic number of a graph G is the minimum integer s such that we can color the vertices of G with s colors so that no maximal clique of size at least 2 is monochromatic. In this talk I will present results about the clique chromatic number of binomial random graphs. The main part of the talk will be on a result from Alon and Krivelevich where they prove that for dense binomial random graphs G=G(n,p) with p constant we have that with high probability the clique chromatic number of G is Omega(log n). Their work settles a problem of McDiarmid, Mitsche and Pralat who proved that the clique chromatic number is O(log n) with high probability.

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