Weighted quasisymmetric enumerator for generalized permutohedra

Vladimir, Gujić; Marko, Pešović; Tanja, Stojadinović

doi:10.1007/s10801-019-00874-x

2020

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Authors

Vladimir, Gujić
Marko, Pešović
Tanja, Stojadinović

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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-polynomial

Source:
Journal of Algebraic Combinatorics, 2020, 51, 247-272

Publisher:

Springer

Funding / projects:

Topology, geometry and global analysis on manifolds and discrete structures (RS-174034)

DOI: 10.1007/s10801-019-00874-x

ISSN: 1572-9192

WoS: 000516586700004

Scopus: 2-s2.0-85064196996

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	3
	2

TY  - 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 . .