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.
TY - 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
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",
title = "Weighted P-partitions enumerator",
doi = "https://doi.org/10.2298/AADM200525013P"
}
