Weighted quasisymmetric enumerator for generalized permutohedra
Apstrakt
We introduce a weighted quasisymmetric enumerator function associated to generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. Beside that it carries information of face
numbers of generalized permutohedra. We consider more systematically the cases of nestohedra and matroid base polytopes.
Ključne reči:
generalized permutohedron / quasisymmetric function / matroid / matroid base polytope / combinatorial Hopf algebra / f-polynomialIzvor:
Journal of Algebraic Combinatorics, 2020, 51, 247-272Izdavač:
- Springer
Finansiranje / projekti:
DOI: 10.1007/s10801-019-00874-x
ISSN: 1572-9192