Weighted P-partitions enumerator | Zendy

Marko Pešović | Zendy; Tanja Stojadinović | Zendy

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Weighted P-partitions enumerator

Author(s) -

Marko Pešović,

Tanja Stojadinović

Publication year - 2021

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm200525013p

Subject(s) - mathematics , morphism , partially ordered set , hopf algebra , integer (computer science) , combinatorics , polynomial , principal (computer security) , discrete mathematics , function (biology) , pure mathematics , algebra over a field , mathematical analysis , evolutionary biology , computer science , biology , programming language , operating system

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.

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