Extensions of transversal valuated matroids

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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Publication Details

Journal
European Journal of Combinatorics
Published
2025-03-19
DOI
https://doi.org/10.1016/j.ejc.2025.104153
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00

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article

Extensions of transversal valuated matroids

Jorge Alberto Olarte, Alex Fink
European Journal of Combinatorics
Polynomial and algebraic computation
article

Extensions of transversal valuated matroids

Jorge Alberto Olarte, Alex Fink
article en

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.

European Journal of CombinatoricsVol. 127
Queen Mary University of London (GB)
Deutsche Forschungsgemeinschaft, Universidad de Cantabria, Engineering and Physical Sciences Research Council
Openalex Percentile: Top 94%
Polynomial and algebraic computation
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