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

Date and Time: Thursday, February 14, 2019, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Václav Rozhoň

Embedding trees in dense graphs

A central question of the extremal graph theory is what is the maximum edge density of a graph that does not contain a certain forbidden substructure. The question is wide open in the case when the forbidden substructure is a bipartite graph. We study the question for the case when the bipartite graph is a tree of order comparable with the order of the host graph. We prove an approximate version of the Erdős-Sós conjecture and an approximate version of a certain generalization of the Loebl-Komlós-Sós conjecture. Joint work with T. Klimošová and D. Piguet.

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