Between graphical zonotope and graph-associahedron
Само за регистроване кориснике
2023
Чланак у часопису (Радна верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
generalized permutohedron / quasisymmetric function / graph / decorated graph / combinatorial Hopf algebra / f−polynomialИзвор:
Turkish Journal of Mathematics, 2023Издавач:
- Turkish Journal of Mathematics
Финансирање / пројекти:
- Топологија, геометрија и глобална анализа на многострукостима и дискретним структурама (RS-MESTD-Basic Research (BR or ON)-174034)
- GWORDS - Graphical Languages (RS-ScienceFundRS-Ideje-7749891)
Колекције
Институција/група
GraFarTY - JOUR AU - Pešović, Marko AU - Stojadinović, Tanja PY - 2023 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3110 AB - 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. PB - Turkish Journal of Mathematics T2 - Turkish Journal of Mathematics T1 - Between graphical zonotope and graph-associahedron DO - mat-2304-5 ER -
@article{ author = "Pešović, Marko and Stojadinović, Tanja", year = "2023", 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.", publisher = "Turkish Journal of Mathematics", journal = "Turkish Journal of Mathematics", title = "Between graphical zonotope and graph-associahedron", doi = "mat-2304-5" }
Pešović, M.,& Stojadinović, T.. (2023). Between graphical zonotope and graph-associahedron. in Turkish Journal of Mathematics Turkish Journal of Mathematics.. https://doi.org/mat-2304-5
Pešović M, Stojadinović T. Between graphical zonotope and graph-associahedron. in Turkish Journal of Mathematics. 2023;. doi:mat-2304-5 .
Pešović, Marko, Stojadinović, Tanja, "Between graphical zonotope and graph-associahedron" in Turkish Journal of Mathematics (2023), https://doi.org/mat-2304-5 . .