Title : ( Representation Matrices of Coprime Graph of Generalized Quaternion Group )
Authors: Siti Zahidah , Ahmad Nadimas Zulfikar , Nenik Estuningsih , Ahmad Erfanian ,
Full TextAbstract
his study discusses the representation matrices of the coprime graph of the generalized quaternion group. The representation matrices are adjacency matrix, anti adjacency matrix, Laplacian matrix, and signless Laplacian matrix. Furthermore, the eigenvalues of each representation matrix are determined. As a result, we obtained the construction of the four representation matrices and their eigenvalues. The matrix determinant is zero based on the matrix form, so the matrices have zero eigenvalues except for the signless Laplacian matrix. As for the non-zero eigenvalues, the values depend on the type of representation matrices, the order of the graph, and its algebraic multiplicity.
Keywords
, coprime graph, adjacency-antiadjacency matrices, Laplacian-signless, Laplacian matrices, eigen values
@article{paperid:1105548,
author = {سیتی زهیده and احمد ندیما زولفیکار and ننیک استونینگسی and Erfanian, Ahmad},
title = {Representation Matrices of Coprime Graph of Generalized Quaternion Group},
journal = {Journal of the Indonesian Mathematical Society},
year = {2025},
volume = {31},
number = {3},
month = {August},
issn = {2086-8952},
pages = {1772--22},
numpages = {-1750},
keywords = {coprime graph; adjacency-antiadjacency matrices; Laplacian-signless; Laplacian matrices; eigen values},
}
%0 Journal Article
%T Representation Matrices of Coprime Graph of Generalized Quaternion Group
%A سیتی زهیده
%A احمد ندیما زولفیکار
%A ننیک استونینگسی
%A Erfanian, Ahmad
%J Journal of the Indonesian Mathematical Society
%@ 2086-8952
%D 2025
