algebraic combinatorics 1functorial constructions 1linear operators 1Lorentzian polynomials 1matroid theory 1polymatroids 1
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math.CO2026
Matroid correspondence
Colin Crowley, Changxin Ding, Haoxi Hu +7
The paper introduces matroid correspondences, a functorial framework linking matroids and polymatroids, and shows how standard matroid operations arise from it while preserving rep…
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 positiv…
math.CO2025
Bounded ratios for Lorentzian matrices
Daoji Huang, June Huh, Daniel Soskin +1
We study multiplicative inequalities among entries of Lorentzian matrices, referred to as bounded ratios. These inequalities can be viewed as generalizations of the classical Alexa…