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

Date and Time: Thursday, October 01, 2015, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Pascal Pfister

Strong games played on random graphs

In a strong game played on the edge set of a graph G there are two players, Red and Blue, alternating turns in claiming previously unclaimed edges of G (with Red playing first). The winner is the first one to claim all the edges of some target structure (such as a clique K_k, a perfect matching, a Hamilton cycle, etc.). In this talk, we consider strong games played on the edge set of a random graph G ∼ G(n,p) on n vertices. We prove, for sufficiently large n and a fixed constant 0 < p < 1, that Red can w.h.p win the Hamilton cycle game on on the edge set of a random graph G ∼ G(n,p).

Joint work with Asaf Ferber

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