On (distance) Laplacian characteristic polynomials of power graphs

Bilal Ahmad Rather; Victor A. Bovdi; Mustapha Aouchiche

doi:10.1142/S0219498825500033

On (distance) Laplacian characteristic polynomials of power graphs

Bilal Ahmad Rather
, Victor A. Bovdi
, Mustapha Aouchiche

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Article number	2550003
Journal	Journal of Algebra and its Applications
Volume	23
Issue number	14
DOIs	https://doi.org/10.1142/S0219498825500033
Publication status	Published - Dec 1 2024

Keywords

characteristic polynomial
distance Laplacian matrix
Laplacian matrix
power graph

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/S0219498825500033

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abstract = "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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AU - Rather, Bilal Ahmad

AU - Bovdi, Victor A.

AU - Aouchiche, Mustapha

PY - 2024/12/1

Y1 - 2024/12/1

N2 - 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.

AB - 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.

KW - characteristic polynomial

KW - distance Laplacian matrix

KW - Laplacian matrix

KW - power graph

UR - https://www.scopus.com/pages/publications/85199546029

UR - https://www.scopus.com/pages/publications/85199546029#tab=citedBy

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DO - 10.1142/S0219498825500033

M3 - Article

AN - SCOPUS:85199546029

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JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

IS - 14

M1 - 2550003

ER -

On (distance) Laplacian characteristic polynomials of power graphs

Abstract

Keywords

ASJC Scopus subject areas

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