DL-integral and DQ-integral n-Cayley graphs

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2025-03-15 Epub Date: 2024-11-06 DOI:10.1016/j.amc.2024.129178

Lantao Zou, Yongjiang Wu, Lihua Feng

引用次数: 0

Abstract

In this paper, we derive a decomposition formula for spectra of the distance Laplacian matrix

D^{L}

and distance signless Laplacian matrix

D^{Q}

of n-Cayley graphs by using group representation theory. Besides, we compute the

D^{L}

and

D^{Q}

spectra of the n-gonal n-cone graph and the n-sunlet graph. Finally, we present some examples of

D^{L}

-integral graphs and

D^{Q}

-integral graphs.

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DL 积分和 DQ 积分 n-Cayley 图

本文利用群表示理论推导了 n-Cayley 图的距离拉普拉斯矩阵 DL 和距离无符号拉普拉斯矩阵 DQ 的谱分解公式。此外，我们还计算了 n-gonal n-cone 图和 n-sunlet 图的 DL 和 DQ 光谱。最后，我们给出了一些 DL 积分图和 DQ 积分图的例子。

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

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.