Counterexamples to two conjectures about matroids
Combinatorics
2026-07-02 v1
Abstract
We give counterexamples to two well-known conjectures about matroids: White's conjecture on the generation of the toric ideal by symmetric exchange binomials, and a conjecture of Mason on the log-concavity of the counts of flats of a given rank.
Cite
@article{arxiv.2607.02208,
title = {Counterexamples to two conjectures about matroids},
author = {Matt Larson},
journal= {arXiv preprint arXiv:2607.02208},
year = {2026}
}