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Root systems and graph associahedra

Published 12 Feb 2016 in math.AT and math.CO | (1602.03974v1)

Abstract: It is known that a connected simple graph $G$ associates a simple polytope $P_G$ called a graph associahedron in Euclidean space. In this paper we show that the set of facet vectors of $P_G$ forms a root system if and only if $G$ is a cycle graph and that the root system is of type A.

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Authors (1)

  1. Miho Hatanaka 

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