Extensions of transversal valuated matroids
arXiv:2308.05556
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.
13 pages. Version accepted by European Journal of Combinatorics