Work

Extensions of transversal valuated matroids

Year: 2025

Type: article

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.

Source: European Journal of Combinatorics

DOI: 10.1016/j.ejc.2025.104153

Authors: Alex Fink, Jorge Alberto Olarte

Institution: Queen Mary University of London

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,560

Funders: Deutsche Forschungsgemeinschaft, Universidad de Cantabria, Engineering and Physical Sciences Research Council