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

Date and Time: Thursday, May 13, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Martin Marciniszyn

Ramsey games

Consider the following game on a random graph G=G(n,p): in the first round the player has to colour the edges of G avoiding a monochromatic triangle. Then m additional random edges are added to the graph one by one, which must be coloured instantly. The second round is called the online phase of the game. How long can it last without creating a monochromatic triangle?

Friedgut, Kohayakawa, Rödl, Rucinski, and Tetali (2003) proved bounds for 2- and 3-colourings if G has density cn^{-1/2} for arbitrary small c>0. In my talk, I will present a new short proof for this result and extensions of it to graphs of lower density.

(Joint work with Y. Kohayakawa, V. Rödl and A. Steger)

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