22 citations · 134 across the 13 of their papers we have counts for
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Stressed hyperplanes and Kazhdan-Lusztig gamma-positivity for matroids
Luis Ferroni, George D. Nasr, Lorenzo Vecchi
In this article we make several contributions of independent interest. First, we introduce the notion of stressed hyperplane of a matroid, essentially a type of cyclic flat that pe…
Ehrhart polynomials of rank two matroids
Luis Ferroni, Katharina Jochemko, Benjamin Schröter
Over a decade ago De Loera, Haws and Köppe conjectured that Ehrhart polynomials of matroid polytopes have only positive coefficients and that the coefficients of the corresponding…
Matroids are not Ehrhart positive
Luis Ferroni
In this article we disprove the conjectures asserting the positivity of the coefficients of the Ehrhart polynomial of matroid polytopes by De Loera, Haws and Köppe (2007) and of ge…
Matroid relaxations and Kazhdan-Lusztig non-degeneracy
Luis Ferroni, Lorenzo Vecchi
In this paper we study the interplay between the operation of circuit-hyperplane relaxation and the Kazhdan--Lusztig theory of matroids. We obtain a family of polynomials, not depe…