Weighted quasisymmetric enumerator for generalized permutohedra

Weighted quasisymmetric enumerator for generalized permutohedra

We introduce a weighted quasisymmetric enumerator function associated with generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. Besides that, it carries information of face numbers of generalized permut...

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Veröffentlicht in:Journal of algebraic combinatorics 2020-03, Vol.51 (2), p.247-272
Hauptverfasser: Grujić, Vladimir, Pešović, Marko, Stojadinović, Tanja
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Computer Science
Convex and Discrete Geometry
Group Theory and Generalizations
Lattices
Mathematics
Mathematics and Statistics
Order
Ordered Algebraic Structures
Polytopes
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Zusammenfassung:We introduce a weighted quasisymmetric enumerator function associated with generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. Besides that, it carries information of face numbers of generalized permutohedra. We consider more systematically the cases of nestohedra and matroid base polytopes.
ISSN:0925-9899
1572-9192
DOI:10.1007/s10801-019-00874-x