Games on Triangulations

O. Aichholzer, D. Bremner, E. Demaine, F. Hurtado, E. Kranakis, H. Krasser, S. Ramaswami, S. Sethia, and J. Urrutia

Abstract:

We analyze several perfect-information combinatorial games played on planar triangulations. We describe main broad categories of these games and provide in various situations polynomial-time algorithms to determine who wins a given game under optimal play, and ideally, to find a winning strategy. Relations to relevant existing combinatorial games, such as Kayles, are also shown.



Reference: O. Aichholzer, D. Bremner, E. Demaine, F. Hurtado, E. Kranakis, H. Krasser, S. Ramaswami, S. Sethia, and J. Urrutia. Games on triangulations. Theoretical Computer Science, 343(1-2):42-71, 2005.

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