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The Laplacian energy of conjugacy class graph of some finite groups

Let G be a dihedral group and ΓdG its conjugacy class graph. The Laplacian energy of the graph, LE(ΓdG) is defined as the sum of the absolute values of the difference between the Laplacian eigenvalues and the ratio of twice the edges number divided by the vertices number. In this research, the Lapla...

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Main Authors: Mahmoud, Rabiha, Ahmad Fadzil, Amira Fadina, Sarmin, Nor Haniza, Erfanian, Ahmad
Format: Article
Language:English
Published: Penerbit UTM Press 2019
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/84841/1/NorHanizaSarmin2019_TheLaplacianEnergyofConjugacyClass.pdf
http://eprints.utm.my/id/eprint/84841/
https://dx.doi.org/10.11113/matematika.v35.n1.1059
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spelling my.utm.848412020-02-29T12:35:59Z http://eprints.utm.my/id/eprint/84841/ The Laplacian energy of conjugacy class graph of some finite groups Mahmoud, Rabiha Ahmad Fadzil, Amira Fadina Sarmin, Nor Haniza Erfanian, Ahmad QA Mathematics Let G be a dihedral group and ΓdG its conjugacy class graph. The Laplacian energy of the graph, LE(ΓdG) is defined as the sum of the absolute values of the difference between the Laplacian eigenvalues and the ratio of twice the edges number divided by the vertices number. In this research, the Laplacian matrices of the conjugacy class graph of some dihedral groups, generalized quaternion groups, quasidihedral groups and their eigenvalues are first computed. Then, the Laplacian energy of the graphs are determined. Penerbit UTM Press 2019 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/84841/1/NorHanizaSarmin2019_TheLaplacianEnergyofConjugacyClass.pdf Mahmoud, Rabiha and Ahmad Fadzil, Amira Fadina and Sarmin, Nor Haniza and Erfanian, Ahmad (2019) The Laplacian energy of conjugacy class graph of some finite groups. MATEMATIKA, 35 (April). pp. 59-65. ISSN 0127-9602 https://dx.doi.org/10.11113/matematika.v35.n1.1059 DOI:10.11113/matematika.v35.n1.1059
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mahmoud, Rabiha
Ahmad Fadzil, Amira Fadina
Sarmin, Nor Haniza
Erfanian, Ahmad
The Laplacian energy of conjugacy class graph of some finite groups
description Let G be a dihedral group and ΓdG its conjugacy class graph. The Laplacian energy of the graph, LE(ΓdG) is defined as the sum of the absolute values of the difference between the Laplacian eigenvalues and the ratio of twice the edges number divided by the vertices number. In this research, the Laplacian matrices of the conjugacy class graph of some dihedral groups, generalized quaternion groups, quasidihedral groups and their eigenvalues are first computed. Then, the Laplacian energy of the graphs are determined.
format Article
author Mahmoud, Rabiha
Ahmad Fadzil, Amira Fadina
Sarmin, Nor Haniza
Erfanian, Ahmad
author_facet Mahmoud, Rabiha
Ahmad Fadzil, Amira Fadina
Sarmin, Nor Haniza
Erfanian, Ahmad
author_sort Mahmoud, Rabiha
title The Laplacian energy of conjugacy class graph of some finite groups
title_short The Laplacian energy of conjugacy class graph of some finite groups
title_full The Laplacian energy of conjugacy class graph of some finite groups
title_fullStr The Laplacian energy of conjugacy class graph of some finite groups
title_full_unstemmed The Laplacian energy of conjugacy class graph of some finite groups
title_sort laplacian energy of conjugacy class graph of some finite groups
publisher Penerbit UTM Press
publishDate 2019
url http://eprints.utm.my/id/eprint/84841/1/NorHanizaSarmin2019_TheLaplacianEnergyofConjugacyClass.pdf
http://eprints.utm.my/id/eprint/84841/
https://dx.doi.org/10.11113/matematika.v35.n1.1059
_version_ 1662754315099439104
score 13.211869

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