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https://research.matf.bg.ac.rs/handle/123456789/637| Title: | Weighted p− partitions enumerator | Authors: | Pěsović, Marko Stojadinović, Tanja |
Affiliations: | Algebra and Mathematical Logic | Keywords: | Combinatorial Hopf algebra;Generalized permutohedron;Poset;Quasisymmetric function | Issue Date: | 1-Jan-2021 | Rank: | M21 | Journal: | Applicable Analysis and Discrete Mathematics | 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. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/637 | ISSN: | 14528630 | DOI: | 10.2298/AADM200525013P |
| Appears in Collections: | Research outputs |
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