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

Date and Time: Tuesday, March 23, 2010, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Benny Sudakov (UCLA - Departement of Mathematics)

A Conjecture of Erdos on Graph Ramsey Numbers

The Ramsey number r(G) of a graph G is the minimum N such that every red-blue coloring of the edges of the complete graph on N vertices contains a monochromatic copy of G. Determining or estimating these numbers is one of the central problems in combinatorics. One of the oldest results in Ramsey Theory, proved by Erdos-Szekeres in 1930's, asserts that the Ramsey number of the complete graph with m edges is at most 2^{O(\sqrt{m})}. Motivated by this about quarter century ago Erdos conjectured that there is an absolute constant c such that r(G) \leq 2^{c\sqrt{m}} for any graph G with m edges. In this talk we discuss proof of this conjecture.

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