关于Andreae的普遍性猜想

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-09-01 DOI:10.1016/j.jctb.2023.04.002

Johannes Carmesin

引用次数: 1

摘要

如果对于每个自然数n包含n个顶点不相交H-子的每个图G包含无限多个顶点不交H-子，则图H是普遍存在的。Andreae猜想每一个局部有限图都是普遍存在的。我们给这个猜想举了一个不连贯的反例。是否每一个连通的局部有限图都是普遍存在的，这仍然是开放的。

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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On Andreae's ubiquity conjecture

A graph H is ubiquitous if every graph G that for every natural number n contains n vertex-disjoint H-minors contains infinitely many vertex-disjoint H-minors. Andreae conjectured that every locally finite graph is ubiquitous. We give a disconnected counterexample to this conjecture. It remains open whether every connected locally finite graph is ubiquitous.

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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.