Extensions of transversal valuated matroids
Combinatorics
2025-03-12 v2
Abstract
Following up on our previous work, we study single-element extensions of transversal valuated matroids. We show that tropical presentations of valuated matroids with a minimal set of finite entries enjoy counterparts of the properties proved by Bonin and de Mier of minimal non-valuated transversal presentations.
Keywords
Cite
@article{arxiv.2308.05556,
title = {Extensions of transversal valuated matroids},
author = {Alex Fink and Jorge Alberto Olarte},
journal= {arXiv preprint arXiv:2308.05556},
year = {2025}
}
Comments
13 pages. Version accepted by European Journal of Combinatorics