Weighted P-partitions enumerator
Апстракт
To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.
Кључне речи:
generalized permutohedron / quasisymmetric function / poset / combinatorial Hopf algebraИзвор:
Applicable Analysis and Discrete Mathematics, 2021Издавач:
- Applicable Analysis and Discrete Mathematics
Финансирање / пројекти:
- Топологија, геометрија и глобална анализа на многострукостима и дискретним структурама (RS-MESTD-Basic Research (BR or ON)-174034)
Колекције
Институција/група
GraFarTY - JOUR AU - Pešović, Marko AU - Stojadinović, Tanja PY - 2021 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2334 AB - To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets. PB - Applicable Analysis and Discrete Mathematics T2 - Applicable Analysis and Discrete Mathematics T1 - Weighted P-partitions enumerator DO - https://doi.org/10.2298/AADM200525013P ER -
@article{ author = "Pešović, Marko and Stojadinović, Tanja", year = "2021", abstract = "To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.", publisher = "Applicable Analysis and Discrete Mathematics", journal = "Applicable Analysis and Discrete Mathematics", title = "Weighted P-partitions enumerator", doi = "https://doi.org/10.2298/AADM200525013P" }
Pešović, M.,& Stojadinović, T.. (2021). Weighted P-partitions enumerator. in Applicable Analysis and Discrete Mathematics Applicable Analysis and Discrete Mathematics.. https://doi.org/https://doi.org/10.2298/AADM200525013P
Pešović M, Stojadinović T. Weighted P-partitions enumerator. in Applicable Analysis and Discrete Mathematics. 2021;. doi:https://doi.org/10.2298/AADM200525013P .
Pešović, Marko, Stojadinović, Tanja, "Weighted P-partitions enumerator" in Applicable Analysis and Discrete Mathematics (2021), https://doi.org/https://doi.org/10.2298/AADM200525013P . .