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Abstract: We define an r,s-coloring of an abstract simplicial complex to be acoloring using r colors of the vertices so that in any simplex at most svertices have the same color. We translate the problem of finding anr,s-coloring of a given simplex to a topological problem and to a ringtheoretic problem. The topological version involves vector bundles overDavis-Januszkiewicz spaces and the algebraic one involves factorizations inStanley-Reisner rings.



Author: Natalia Dobrinskaya, Jesper M. Møller, Dietrich Notbohm

Source: https://arxiv.org/







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