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

Date and Time: Wednesday, August 14, 2013, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Mathias Schacht (Universität Hamburg)

On the structure of dense graphs with small clique number

We are interested in structural properties of large and dense graphs G=(V,E) that do not contain a copy of a fixed small graph F. In this talk F will be a small clique, *density* will be given a condition on the minimum degree of G, and *structural properties* are captured by studying homomorphic images of G. In particular, we give an alternative proof of a recent result of Goddard and Lyle, which determines the infimum over all α>0 such that every K_t-free graph G with minimum degree bigger than α|V(G)| has a K_t-free, homomorphic image of order at most K=K(α).

This is joint work with Heiner Oberkampf.

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