15 citations · 29 across the 5 of their papers we have counts for
12 papers
Tutte polynomials of matroids as universal valuative invariants
Luis Ferroni, Benjamin Schröter
We provide a full classification of all families of matroids that are closed under duality and minors, and for which the Tutte polynomial is a universal valuative invariant. There…
Face enumeration for split matroid polytopes
Luis Ferroni, Benjamin Schröter
This paper initiates the explicit study of face numbers of matroid polytopes and their computation. We prove that, for the large class of split matroid polytopes, their face number…
Valuative invariants for large classes of matroids
Luis Ferroni, Benjamin Schröter
We study an operation in matroid theory that allows one to transition a given matroid into another with more bases via relaxing a \emph{stressed subset}. This framework provides a…
The Merino--Welsh conjecture for split matroids
Luis Ferroni, Benjamin Schröter
In 1999 Merino and Welsh conjectured that evaluations of the Tutte polynomial of a graph satisfy an inequality. In this short article we show that the conjecture generalized to mat…
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…
Reconstructibility of matroid polytopes
Guillermo Pineda-Villavicencio, Benjamin Schröter
We specify what is meant for a polytope to be reconstructible from its graph or dual graph. And we introduce the problem of class reconstructibility, i.e., the face lattice of the…