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Weighted P-partitions enumerator

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2021
posetconearxiv.pdf (440.4Kb)
Authors
Pešović, Marko
Stojadinović, Tanja
Article (Draft)
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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.
Keywords:
generalized permutohedron / quasisymmetric function / poset / combinatorial Hopf algebra
Source:
2021
Publisher:
  • Applicable Analysis and Discrete Mathematics
Funding / projects:
  • Topology, geometry and global analysis on manifolds and discrete structures (RS-174034)

DOI: https://doi.org/10.2298/AADM200525013P

ISSN: 1452-8630

[ Google Scholar ]
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2334
Collections
  • Катедра за математику, физику и нацртну геометрију
  • Radovi istraživača / Researcher's publications
Institution/Community
GraFar
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"
}
Pešović, M.,& Stojadinović, T.. (2021). Weighted P-partitions enumerator. 
Applicable Analysis and Discrete Mathematics..
https://doi.org/https://doi.org/10.2298/AADM200525013P
Pešović M, Stojadinović T. Weighted P-partitions enumerator. 2021;.
doi:https://doi.org/10.2298/AADM200525013P .
Pešović, Marko, Stojadinović, Tanja, "Weighted P-partitions enumerator" (2021),
https://doi.org/https://doi.org/10.2298/AADM200525013P . .

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