Extensions of transversal valuated matroids

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2025-03-19 DOI:10.1016/j.ejc.2025.104153

Alex Fink , Jorge Alberto Olarte

引用次数: 0

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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横向赋值拟阵的扩展

在之前工作的基础上，我们研究了横向求值拟阵的单元素扩展。我们证明了具有有限项最小集的赋值拟阵的热带表示具有由Bonin和de Mier证明的最小非赋值横断面表示的相应性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.