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

Date and Time: Tuesday, March 22, 2022, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Nemanja Draganic

Induced subgraphs of sparse random graphs

In this talk we present several results about induced subgraphs of sparse random graphs G~G(n,p). For example, in all interesting regimes for p, we show that whp we can find induced matchings, certain forests, and paths of largest possible size. Furthermore, we consider monochromatic induced subgraphs of a colored G~G(n,p), and we get an improved bound for induced size-Ramsey numbers of paths. We finish with some open problems. The presented results are obtained in joint work with several subsets (allowing repetition) of the following group of people: O. Cooley, S. Glock, M. Kang, M. Krivelevich, R. Nenadov and B. Sudakov

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