Andrés R. Vindas-Meléndez

activity

20182022

collaborators

4 papers

math.CO2022

Ehrhart Theory of Paving and Panhandle Matroids

Derek Hanely, Jeremy L. Martin, Daniel McGinnis +4

We show that the base polytope $P_{M}$ of any paving matroid $M$ can be systematically obtained from a hypersimplex by slicing off certain subpolytopes, namely base polytopes of latt…

math.CO2020

Decompositions of Ehrhart $h^{*}$ -polynomials for rational polytopes

Matthias Beck, Benjamin Braun, Andrés R. Vindas-Meléndez

The Ehrhart quasipolynomial of a rational polytope $P$ encodes the number of integer lattice points in dilates of $P$ , and the $h^{*}$ -polynomial of $P$ is the numerator of the accom…

math.CO2019

The equivariant Ehrhart theory of the permutahedron

Federico Ardila, Mariel Supina, Andrés R. Vindas-Meléndez

Equivariant Ehrhart theory enumerates the lattice points in a polytope with respect to a group action. Answering a question of Stapledon, we describe the equivariant Ehrhart theory…

math.CO2018

The equivariant volumes of the permutahedron

Federico Ardila, Anna Schindler, Andrés R. Vindas-Meléndez

We consider the action of the symmetric group $S_{n}$ on the permutahedron $Π_{n}$ . We prove that if $σ$ is a permutation of $S_{n}$ which has $m$ cycles of lengths $l_{1}, \dots, l_{m}$ , t…

Ehrhart Theory of Paving and Panhandle Matroids

Decompositions of Ehrhart h∗-polynomials for rational polytopes

The equivariant Ehrhart theory of the permutahedron

The equivariant volumes of the permutahedron

Decompositions of Ehrhart $h^{*}$ -polynomials for rational polytopes