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An algorithm for an ๐“<sup>2</sup>-homological test for the planarity of a graph

An algorithm for an ๐“<sup>2</sup>-homological test for the planarity of a graph

Given a finite simple graph ฮ“, one is able to define the presentation of an associate Coxeter group W(ฮ“) and construct a CW-complex on which the associated Coxeter group acts. The space is the so-called Davis Complex, denoted ฮฃ(ฮ“), and the given graph carries much of the local topological information โ€ฆ