
| Mittagsseminar Talk Information | |
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 gamesConsider 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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