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math.CO2013★ 1 cited
Games and Complexes II: Weight Games and Kruskal-Katona Type Bounds
Sara Faridi, Svenja Huntemann, Richard J. Nowakowski
A strong placement game played on a board is equivalent to a simplicial complex . We look at weight games, a subclass of strong placement games, and introduce uppe…
math.CO2013
Games and Complexes I: Transformation via Ideals
Sara Faridi, Svenja Huntemann, Richard J. Nowakowski
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,…