How fast can Maker win in fair biased games?
Combinatorics
2016-02-09 v1
Abstract
We study (a:a) Maker-Breaker games played on the edge set of the complete graph on n vertices. In the following four games - perfect matching game, Hamilton cycle game, star factor game and path factor game, our goal is to determine the least number of moves which Maker needs in order to win these games. Moreover, for all games except for the star factor game, we show how Red can win in the strong version of these games.
Cite
@article{arxiv.1602.02495,
title = {How fast can Maker win in fair biased games?},
author = {Dennis Clemens and Mirjana Mikalački},
journal= {arXiv preprint arXiv:1602.02495},
year = {2016}
}
Comments
An extended abstract appears in the proceedings of the EuroComb 2015