Clemens, DennisDennisClemensMikalački, MirjanaMirjanaMikalački2019-11-282019-11-282018-01-01Discrete Mathematics 1 (341): 51-66 (2018)http://hdl.handle.net/11420/3910We 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 first player can win in the strong version of these games.en0012-365X201815166Fast winningGames on graphsMaker–Breaker gamesStrong gamesJournal Article10.1016/j.disc.2017.06.023Other