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Between graphical zonotope and graph-associahedron (2209.12053v1)
Published 24 Sep 2022 in math.CO
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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