Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, June 15, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Dieter Mitsche

Reconstructing a Large Clique in a Random Graph

In 1998 Alon, Krivelevich and Sudakov showed how to find a clique of size k=c √n in a random graph G(n,1/2,k), which is generated in the following way: add each edge with probability 1/2 independently, then choose a random subset Q of size k and force it to be a clique by joining each pair of vertices of Q with an edge.

This talk generalizes the problem of reconstructing a clique in the G(n,p,q,k) model: choose a random subset Q of size k; each edge incident to two vertices of Q is included with probability p, each other edge is included with probability q, where p > q.

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