Games and Complexes I: Transformation via Ideals

Published 4 Oct 2013 in math.CO | (1310.1281v2)

Abstract: Placement games are a subclass of combinatorial games which are played on graphs. We will demonstrate that one can construct simplicial complexes corresponding to a placement game, and this game could be considered as a game played on these simplicial complexes. These complexes are constructed using square-free monomials.

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