Weighted quasisymmetric enumerator for generalized permutohedra
Abstract
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.
Keywords:
generalized permutohedron / quasisymmetric function / matroid / matroid base polytope / combinatorial Hopf algebra / f-polynomialSource:
Journal of Algebraic Combinatorics, 2020, 51, 247-272Publisher:
- Springer
Funding / projects:
- Topology, geometry and global analysis on manifolds and discrete structures (RS-MESTD-Basic Research (BR or ON)-174034)
DOI: 10.1007/s10801-019-00874-x
ISSN: 1572-9192
WoS: 000516586700004
Scopus: 2-s2.0-85064196996
Institution/Community
GraFarTY - JOUR AU - Vladimir, Gujić AU - Marko, Pešović AU - Tanja, Stojadinović PY - 2020 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1740 AB - 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. PB - Springer T2 - Journal of Algebraic Combinatorics T1 - Weighted quasisymmetric enumerator for generalized permutohedra EP - 272 SP - 247 VL - 51 DO - 10.1007/s10801-019-00874-x ER -
@article{ author = "Vladimir, Gujić and Marko, Pešović and Tanja, Stojadinović", year = "2020", abstract = "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.", publisher = "Springer", journal = "Journal of Algebraic Combinatorics", title = "Weighted quasisymmetric enumerator for generalized permutohedra", pages = "272-247", volume = "51", doi = "10.1007/s10801-019-00874-x" }
Vladimir, G., Marko, P.,& Tanja, S.. (2020). Weighted quasisymmetric enumerator for generalized permutohedra. in Journal of Algebraic Combinatorics Springer., 51, 247-272. https://doi.org/10.1007/s10801-019-00874-x
Vladimir G, Marko P, Tanja S. Weighted quasisymmetric enumerator for generalized permutohedra. in Journal of Algebraic Combinatorics. 2020;51:247-272. doi:10.1007/s10801-019-00874-x .
Vladimir, Gujić, Marko, Pešović, Tanja, Stojadinović, "Weighted quasisymmetric enumerator for generalized permutohedra" in Journal of Algebraic Combinatorics, 51 (2020):247-272, https://doi.org/10.1007/s10801-019-00874-x . .