On the Spectra of Strong Power Graphs of Finite Groups

被引：0

作者：

Ruiqin FU ^{[1
]}

Xuanlong MA ^{[1
]}

机构：

[1] School of Science, Xi’an Shiyou University

来源：

Journal of Mathematical Research with Applications | 2019年 / 39卷 / 05期

基金：

中国国家自然科学基金;

关键词：

strong power graph; cyclic group; characteristic polynomial; spectrum;

D O I：

暂无

中图分类号：

O152.1 [有限群论]; O157.5 [图论];

学科分类号：

摘要：

Let G be a finite group of order n. The strong power graph of G is the undirected graph whose vertex set is G and two distinct vertices x and y are adjacent if xn1= yn2 for some positive integers n1, n2 < n. In this paper, we give the characteristic polynomials of the distance and adjacency matrix of the strong power graph of G, and compute its distance and adjacency spectrum.

引用

页码：453 / 458

页数：6

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