Weighted $\mathsf{P}-$partitions enumerator
Combinatorics
2019-07-02 v1
Abstract
To an extended permutohedron we associate the weighted integer points enumerator, whose principal specialization is the -polynomial. In the case of poset cones it refines Gessel's -partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.
Keywords
Cite
@article{arxiv.1907.00099,
title = {Weighted $\mathsf{P}-$partitions enumerator},
author = {Marko Pešović and Tanja Stojadinović and Vladimir Grujić},
journal= {arXiv preprint arXiv:1907.00099},
year = {2019}
}
Comments
17 pages, 3 figures