母题霍尔条件下的有限匹配性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-13 DOI:10.1016/j.jctb.2024.02.006

Attila Joó

引用次数: 0

摘要

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。

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Finite matchability under the matroidal Hall's condition

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.