平均度约束下的图分区

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-05 DOI:10.1016/j.jctb.2023.11.006

Yan Wang , Hehui Wu

引用次数: 0

摘要

本文证明了每一个平均度至少为s+t+2的图都有一个顶点划分成两部分，使得一部分的平均度至少为s，另一部分的平均度至少为t。这就解决了Csóka、Lo、Norin、Wu和Yepremyan的一个猜想。

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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Graph partitions under average degree constraint

In this paper, we prove that every graph with average degree at least $s + t + 2$ has a vertex partition into two parts, such that one part has average degree at least s, and the other part has average degree at least t. This solves a conjecture of Csóka, Lo, Norin, Wu and Yepremyan.

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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.