2 papers
math.CO2026
Tree metrics and log-concavity for matroids
Federico Ardila-Mantilla, Sergio Cristancho, Graham Denham +3
We show that a set function satisfies the gross substitutes property if and only if its homogeneous generating polynomial is a Lorentzian polynomial for all positive…
math.CO2022
The tropical critical points of an affine matroid
Federico Ardila-Mantilla, Christopher Eur, Raul Penaguiao
We prove that the number of tropical critical points of an affine matroid (M,e) is equal to the beta invariant of M. Motivated by the computation of maximum likelihood degrees, thi…