On (distance) Laplacian characteristic polynomials of power graphs

被引：2
|
作者：
Rather, Bilal Ahmad [1 ]
Bovdi, Victor A. A. [1 ]
Aouchiche, Mustapha [2 ]
机构：
[1] UAE Univ, Math Sci Dept, COS, Al Ain, U Arab Emirates
[2] GERAD & Polytech Montreal, Montreal, PQ, Canada
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 14期
关键词：
Laplacian matrix; distance Laplacian matrix; characteristic polynomial; power graph; EIGENVALUES; SPECTRUM;
D O I：
10.1142/S0219498825500033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The characteristic polynomials of the Laplacian and the distance Laplacian matrices of power graphs of groups of order pqr, where p, q and r are primes, are obtained. Further, the characteristic polynomials of these matrices for proper power graphs of cyclic and dicyclic groups are given. The important inequalities for the zeros of the distance Laplacian characteristic polynomials of power graphs of finite groups are presented in comments.
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页数：21
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