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arXiv · 2308.05556

Extensions of transversal valuated matroids

Alex Fink·Jorge Alberto Olarte
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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.

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Alex Fink, Jorge Alberto Olarte. 2025-03-11. Extensions of transversal valuated matroids. https://arxiv.org/abs/2308.05556

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