Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**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

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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