Finite matchability under the matroidal Hall's condition

IF 1.2 1区数学 Q1 MATHEMATICS

Journal of Combinatorial Theory Series B Pub Date : 2024-03-13 DOI:10.1016/j.jctb.2024.02.006

Attila Joó

引用次数: 0

Abstract

Aharoni and Ziv conjectured that if M and N are finitary matroids on E, then a certain “Hall-like” condition is sufficient to guarantee the existence of an M-independent spanning set of N. We show that their condition ensures that every finite subset of E is N-spanned by an M-independent set.

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母题霍尔条件下的有限匹配性

Aharoni 和 Ziv 猜想，如果 M 和 N 是 E 上的有限矩阵，那么某个 "类似霍尔 "的条件足以保证 N 存在一个与 M 无关的跨集。

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

Journal of Combinatorial Theory Series B 数学-数学

CiteScore

2.70

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research dealing with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series B is concerned primarily with graph theory and matroid theory and is a valuable tool for mathematicians and computer scientists.