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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 ...
Integer points enumerator of hypergraphic polytopes
(Mathematical Institute of the Serbian Academy of Sciences and Arts, 2021)
For a hypergraphic polytope there is a weighted quasisymmetric
function which enumerates positive integer points in its normal fan
and determines its f −polynomial. This quasisymmetric function
invariant of hypergraphs ...
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 ...