# Seminars & Colloquia Calendar

Discrete Math

## Generalized Turan-type problems for random graphs

#### Clara Shikhelman, Tel Aviv

Location:  Hill 705
Date & time: Monday, 08 October 2018 at 2:00PM - 3:00PM

Abstract: For two fixed graphs $$T$$ and $$H$$, a positive integer $$n$$ and a real number $$p in [0,1]$$ let $$ex(G(n,p),T,H)$$ be the random variable counting the maximum number of copies of $$T$$ in an $$H$$-free subgraph of the random graph $$G(n,p)$$. In this talk we discuss this variable, its phase transition as a function of $$p$$ and its connection to the deterministic function counting the maximum number of copies of $$T$$ in an $$H$$-free graph on $$n$$ vertices. Based on joint works with N. Alon, A. Kostochka and W. Samotij.

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