Characterization of Graphs with Some Normalized Laplacian Eigenvalue Having Multiplicity $$n{-}4$$

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-23 DOI:10.1007/s40304-024-00395-5

Shaowei Sun

引用次数: 0

Abstract

The spectrum of the normalized Laplacian matrix of a graph provides a lot of structural information of the graph, and it has applications in numerous areas and in different guises. In this paper, we completely characterize all connected graphs of order $n\ge 25$ with some normalized Laplacian eigenvalue $\rho \in \big (0,\,\frac{n-1}{n-2}\big )$ having multiplicity $n{-4}$.

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具有某些乘数为 $$n{-}4$$ 的归一化拉普拉奇特征值的图形特征

一个图的归一化拉普拉奇矩阵的频谱提供了该图的大量结构信息，它以不同的面貌应用于众多领域。在本文中，我们完整地描述了所有阶为（n\ge 25\ ）的连通图，这些图具有某个归一化拉普拉斯特征值（\rho \in \big (0,\,\frac{n-1}{n-2}\big )\），其乘数为（n{-4}\）。

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.