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arXiv · 1602.03974

Root systems and graph associahedra

Miho Hatanaka
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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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Miho Hatanaka. 2016-02-12. Root systems and graph associahedra. https://arxiv.org/abs/1602.03974

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