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

Date and Time: Thursday, March 24, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Elias Vicari

Off-Diagonal Ramsey Numbers

In this talk we will present a deterministic proof of Spencer's lower bound for the off-diagonal Ramsey numbers. The basic tool will be the Erdős-Selfridge theorem (biased version), a well-known result from the field of positional games. We will interpret the Ramsey problem as a positional game, where two players alternately color edges of a complete graph K_m. The goal of both is to color monochromatically the edge set of a copy of a target complete graph K_s and K_n, respectively (for s fix and n growing). If the board size m=m(n) is not too big, we will be able to provide both players a deterministic drawing strategy, which would imply that R(s,n)>m.

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