Geodesic
Multivariate polynomials for generalized permutohedra
Ars Mathematica Contemporanea, Tome 22 (2022) no. 4, article no. 02, 19 p.

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Using the notion of a Mahonian statistic on acyclic posets, we introduce a q-analogue of the h-polynomial of a simple generalized permutohedron. We focus primarily on the case of nestohedra and on explicit computations for many interesting examples, such as Sn-invariant nestohedra, graph associahedra, and Stanley-Pitman polytopes. For the usual (Stasheff) associahedron, our generalization yields an alternative q-analogue to the well-studied Narayana numbers.
DOI : 10.26493/1855-3974.2044.fd1
Keywords: Generalized permutohedron, h-polynomial, q-analogues 
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Eric Katz; McCabe Olsen. Multivariate polynomials for generalized permutohedra. Ars Mathematica Contemporanea, Tome 22 (2022) no. 4, article  no. 02, 19 p. doi : 10.26493/1855-3974.2044.fd1. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2044.fd1/

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