Cycle games and cycle cut games


Two players play a game on a connected graphG. Each player in his turn occupies an edge ofG. The player who occupies a set of edges that contains a cycle, before the other does it, wins. This game may end in a draw. We call this game the normal cycle game. We define furthermore three similar games, which are called the misère cycle game, the normal cycle cut game and the misère cycle cut game. We characterize the above four games.

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Kano, M. Cycle games and cycle cut games. Combinatorica 3, 201–206 (1983).

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AMS subject classification (1980)

  • 05 C 38