D-积分、$$D^Q$$-积分和$$D^L$$-积分广义双轮图

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-28 DOI:10.1007/s40840-024-01710-7

Yirui Chai, Ligong Wang, Yuwei Zhou

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引用次数: 0

摘要

图 $aK_{m,m}\nabla C_{n}$ 被命名为广义双轮图。如果一个图 G 的矩阵 M（即邻接矩阵 A(G) 、距离矩阵 D(G) 、距离拉普拉斯矩阵 $D^L(G)$ 或距离无符号拉普拉斯矩阵 $D^Q(G)$ ）的所有特征值都是整数，则称该图 G 为 M-integral （又称 A-integral 、 D-integral 、 $D^L$-integral 或 $D^Q$-integral ）。在本文中，我们分别完全确定了所有 D-integral, $D^L$-integral 和 $D^Q$-integral 广义双轮图。

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D-Integral, $$D^Q$$ -Integral and $$D^L$$ -Integral Generalized Double-Wheel Graphs

The graph $aK_{m,m}\nabla C_{n}$ is named the generalized double-wheel graph. A graph G is said to be M-integral (resp. A-integral, D-integral, $D^L$-integral or $D^Q$-integral) if all eigenvalues of its matrix M (resp. adjacency matrix A(G) , distance matrix D(G) , distance Laplacian matrix $D^L(G)$ or distance signless Laplacian matrix $D^Q(G)$) are integers. In this paper, we completely determine all D-integral, $D^L$-integral and $D^Q$-integral generalized double-wheel graphs respectively.

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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.