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Games and Complexes I: Transformation via Ideals

2013/10/04 by Sara Faridi, Faridi, Sara, Svenja Huntemann +3
Business, Management and Accounting · Computer Science · Mathematics · #13F55 #91A46 #Artificial Intelligence in Games #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Organizational Management and Leadership #math.CO #msc:13F55 #msc:91A46

paper · pdf · doi:10.48550/arxiv.1310.1281

openalex publication_date 2013/10/04 · arxiv created 2015/09/04 · arxiv updated 2015/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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