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Weighted quasisymmetric enumerator for generalized permutohedra
(Springer, 2020)
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. ...
Weighted P-partitions enumerator
(Applicable Analysis and Discrete Mathematics, 2021)
To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We ...
Between graphical zonotope and graph-associahedron
(Turkish Journal of Mathematics, 2023)
This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the graph and the last is the graph–associahedron ...