کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777644 | 1632971 | 2017 | 34 صفحه PDF | دانلود رایگان |
In the Oriented-cycle game, introduced by Bollobás and Szabó [7], two players, called OMaker and OBreaker, alternately direct edges of Kn. OMaker directs exactly one previously undirected edge, whereas OBreaker is allowed to direct between one and b previously undirected edges. OMaker wins if the final tournament contains a directed cycle, otherwise OBreaker wins. Bollobás and Szabó [7] conjectured that for a bias as large as nâ3 OMaker has a winning strategy if OBreaker must take exactly b edges in each round. It was shown recently by Ben-Eliezer, Krivelevich and Sudakov [6], that OMaker has a winning strategy for this game whenever b
Journal: Journal of Combinatorial Theory, Series B - Volume 122, January 2017, Pages 21-54