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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, July 30, 2013, 12:15 pm

**Duration**: 30 minutes

**Location**: CAB G51

**Speaker**: Ralph Keusch

In this thesis we study the game in which two players take turns coloring the vertices of a given graph G with k colors. In each move the current player colors a vertex such that neighboring vertices get different colors. The first player wins if and only if at the end, all the vertices are colored. Then the *game chromatic number* χ_{g}(G) is defined as the smallest k for which the first player has a winning strategy.

We analyse this parameter for random graphs G_{n,p}, where p is a constant. We improve the existing results on this class of graphs and prove that with high probability, the game chromatic number χ_{g}(G_{n,p}) is exactly twice as large as the ordinary chromatic number χ(G_{n,p}).

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