Open AccessWeighted 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.