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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Thursday, April 15, 2010, 12:15 pm

**Duration**: This information is not available in the database

**Location**: CAB G51

**Speaker**: Ido Ben-Eliezer (Tel Aviv University)

We study the size Ramsey number of directed path of length n in oriented graphs, where no antiparallel edges are allowed. We give nearly tight bounds for every fixed number of colors, showing that for every q\geq 1 there are constant c,c_q such that \frac{c_q n^{2q}\log^{1/q} n}{\log^{(q+2)/q}\log n} \leq r_e(\overrightarrow{P_n},q+1) \leq c n^{2q}\log^{2}{n}. In particular this shows that the size Ramsey number in oriented graphs is asymptotically larger than the size Ramsey number in general directed graphs.

Joint work with Michael Krivelevich and Benny Sudakov.

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