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

Date and Time: Thursday, April 25, 2013, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Michal Adamaszek (Universität Bremen)

Extremal graph theory and flag manifolds

Tools of extremal graph theory are useful in the study of the structure very dense graphs with additional constraints. In this talk I will show how to apply stability of Turan graphs to investigate dense graphs which triangulate spheres, manifolds, or more general pseudomanifolds. A representative result of this kind is: the n-vertex graph which maximizes the number of edges among flag 3-manifolds is the join of two cycles of length n/2. I will also give some motivation for the study of flag manifold triangulations and present open problems in extremal graph theory which arise from our study. Joint work with Jan Hladky.

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