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

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, March 11, 2014, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Dennis Clemens (Freie Universität Berlin)

On the threshold bias of the Oriented-cycle game

In the Oriented cycle game, the two players, called OMaker and OBreaker, alternately direct edges of the complete graph on n vertices. OMaker directs exactly one edge, whereas OBreaker is allowed to direct between one and b edges in each round. OMaker wins if the final tournament contains a directed cycle, otherwise OBreaker wins. It is not that difficult see that OMaker has a winning strategy for this game whenever b < n/2 - 2, whereas OBreaker wins for b>n-3. We show that OBreaker has a strategy whenever b > 5n/6. Moreover, we also show that in a variant, where OBreaker is asked to direct exactly b edges in each round, OBreaker wins whenever b>19n/20. Joint work with Anita Liebenau.


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