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math.CO2025
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…
math.CO2025
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…
math.CO2024
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…