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

Date and Time: Tuesday, January 20, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Miloš Stojaković

Positional Games on Random Graphs

We introduce and study Maker/Breaker-type positional games on random graphs. Our main concern is to determine the threshold probability p_F for the existence of Maker's strategy to claim a member of F in the unbiased game played on the edges of random graph G(n,p), for various target families F of winning sets. More generally, for each probability above this threshold we study the smallest bias b such that Breaker wins the (1:b) biased game.
We investigate these functions for a number of basic games, like the connectivity game, the perfect matching game, the clique game and the Hamiltonian cycle game.

This is joint work with Tibor Szabo.

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