Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3434
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. In the last section, we study some properties related to $\mathcal{H}$-polytopes.
Keywords
Generalized permutohedron, quasisymmetric function, graph, decorated graph, combinatorial Hopf algebra, $f-$polynomial
First Page
1362
Last Page
1373
Recommended Citation
PESOVIC, MARKO and STOJADINOVIC, TANJA
(2023)
"Between graphical zonotope and graph-associahedron,"
Turkish Journal of Mathematics: Vol. 47:
No.
5, Article 5.
https://doi.org/10.55730/1300-0098.3434
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss5/5
