The inducibility of oriented stars

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-06 DOI:10.1016/j.jctb.2024.04.001

Ping Hu , Jie Ma , Sergey Norin , Hehui Wu

引用次数: 0

Abstract

We consider the problem of maximizing the number of induced copies of an oriented star $S_{k, ℓ}$ in digraphs of given size, where the center of the star has out-degree k and in-degree ℓ. The case $k ℓ = 0$ was solved by Huang in [11]. Here, we asymptotically solve it for all other oriented stars with at least seven vertices.

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定向星的可诱导性

我们考虑的问题是在给定大小的数图中最大化定向星 Sk,ℓ 的诱导副本数，其中星的中心有外度 k 和内度 ℓ。Huang 在 [11] 中解决了 kℓ=0 的情况。在此，我们对至少有七个顶点的所有其他定向星进行渐近求解。

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

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.