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arXiv · 2209.12053

Between graphical zonotope and graph-associahedron

Marko Pešović·Tanja Stojadinović
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Abstract

This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the graph and the last is the graph-associahedron associated to it. We describe the weighted integer points enumerators for polytopes in this collection as Hopf algebra morphisms of combinatorial Hopf algebras of decorated graphs.

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Marko Pešović, Tanja Stojadinović. 2022-09-24. Between graphical zonotope and graph-associahedron. https://arxiv.org/abs/2209.12053

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