纠缠

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-09-13 DOI:10.1016/j.jctb.2023.08.007

Johannes Carmesin , Jan Kurkofka

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引用次数: 0

摘要

Robertson和Seymour为每个图G构造了一个树分解，该树分解有效地区分了G中的所有缠结。虽然这些分解的所有先前构造在本质上要么是迭代的，要么不是规范的，但我们给出了一个显式的一步构造，它是规范的。关键因素是缠结的“局部性质”的公理化。还讨论了局部有限图和拟阵的推广。

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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Entanglements

Robertson and Seymour constructed for every graph G a tree-decomposition that efficiently distinguishes all the tangles in G. While all previous constructions of these decompositions are either iterative in nature or not canonical, we give an explicit one-step construction that is canonical.

The key ingredient is an axiomatisation of ‘local properties’ of tangles. Generalisations to locally finite graphs and matroids are also discussed.

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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.

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