algebraic combinatorics 1functorial constructions 1linear operators 1Lorentzian polynomials 1matroid theory 1polymatroids 1
From the 1 of 2 linked papers with an AI index.
2 papers
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.CO2025
On some notions of rank for matrices over tracts
Matthew Baker, Noah Solomon, Tianyi Zhang
Given a tract in the sense of Baker and Bowler and a matrix with entries in , we define several notions of rank for . In this way, we are able to unify and find conce…