Extensions of transversal valuated matroids

Alex M. Fink, Jorge Alberto Olarte · arXiv (Cornell University) · 2023

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.

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