Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1374
Title: Between graphical zonotope and graph-associahedron
Authors: Pešović, Marko
Stojadinović, Tanja 
Keywords: combinatorial Hopf algebra;decorated graph;f−polynomial;Generalized permutohedron;graph;quasisymmetric function
Issue Date: 1-Jan-2023
Rank: M22
Publisher: Ankara : Scientific and Technological Research Council of Turkey (TUBITAK), Turkish Academic Network and Information Center (ULAKBIM)
Journal: Turkish Journal of Mathematics
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 H–polytopes.
URI: https://research.matf.bg.ac.rs/handle/123456789/1374
ISSN: 13000098
DOI: 10.55730/1300-0098.3434
Rights: Attribution 3.0 United States
Appears in Collections:Research outputs

Files in This Item:
File Description SizeFormat
Between graphical zonotope and graph-associahedron.pdf320.71 kBAdobe PDF
View/Open
Show full item record

Page view(s)

14
checked on Dec 24, 2024

Download(s)

3
checked on Dec 24, 2024

Google ScholarTM

Check

Altmetric

Altmetric


This item is licensed under a Creative Commons License Creative Commons