Paper by Erik D. Demaine

Oswin Aichholzer, David Bremner, Erik D. Demaine, Ferran Hurtado, Evangelos Kranakis, Hannes Krasser, Suneeta Ramaswami, Saurabh Sethia, and Jorge Urrutia, “Games on Triangulations”, Theoretical Computer Science, volume 343, number 1–2, October 2005, pages 42–71. Special issue ``Game Theory Meets Theoretical Computer Science''.

We analyze several perfect-information combinatorial games played on planar triangulations. We introduce three broad categories of such games—constructing, transforming, and marking triangulations—and several specific games within each category. In various situations of each game, we develop polynomial-time algorithms to determine who wins a given game position under optimal play, and to find a winning strategy. Along the way, we show connections to existing combinatorial games such as Kayles and Nimstring (a variation on Dots-and-Boxes).

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The paper is 32 pages.

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Related papers:
TriangulationGames_JCDCG2002 (Playing with Triangulations)
TriangulationGames_EuroCG2003 (Geometric Games on Triangulations)

See also other papers by Erik Demaine.
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Last updated September 3, 2017 by Erik Demaine.