Between graphical zonotope and graph-associahedron
Combinatorics
2022-09-27 v1
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.
Keywords
Cite
@article{arxiv.2209.12053,
title = {Between graphical zonotope and graph-associahedron},
author = {Marko Pešović and Tanja Stojadinović},
journal= {arXiv preprint arXiv:2209.12053},
year = {2022}
}
Comments
16 pages, 5 figures