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The Laplacian energy of conjugacy class graph of some dihedral groups

Let G be a dihedral group and Gamma its conjugacy class graph. The Laplacian energy of the graph, LE(Gamma) 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 number of vertices. In this research, th...

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Main Authors: Mahmoud, R. B., Sarmin, N. H., Erfanian, A., Ahmad Fadzil, A. F.
Format: Article
Published: Penerbit UTM Press 2017
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/80947/
http://dx.doi.org/10.11113/mjfas.v13n2.639
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spelling my.utm.809472019-07-24T00:13:14Z http://eprints.utm.my/id/eprint/80947/ The Laplacian energy of conjugacy class graph of some dihedral groups Mahmoud, R. B. Sarmin, N. H. Erfanian, A. Ahmad Fadzil, A. F. QA Mathematics Let G be a dihedral group and Gamma its conjugacy class graph. The Laplacian energy of the graph, LE(Gamma) 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 number of vertices. In this research, the Laplacian matrices of the conjugacy class graph of some dihedral groups and its eigenvalues are first computed. Then, the Laplacian energy of this graph is determined. Penerbit UTM Press 2017 Article PeerReviewed Mahmoud, R. B. and Sarmin, N. H. and Erfanian, A. and Ahmad Fadzil, A. F. (2017) The Laplacian energy of conjugacy class graph of some dihedral groups. Malaysian Journal of Fundamental and Applied Sciences, 13 (2). pp. 129-131. ISSN 2289-5981 http://dx.doi.org/10.11113/mjfas.v13n2.639 DOI:10.11113/mjfas.v13n2.639
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/
topic QA Mathematics
spellingShingle QA Mathematics
Mahmoud, R. B.
Sarmin, N. H.
Erfanian, A.
Ahmad Fadzil, A. F.
The Laplacian energy of conjugacy class graph of some dihedral groups
description Let G be a dihedral group and Gamma its conjugacy class graph. The Laplacian energy of the graph, LE(Gamma) 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 number of vertices. In this research, the Laplacian matrices of the conjugacy class graph of some dihedral groups and its eigenvalues are first computed. Then, the Laplacian energy of this graph is determined.
format Article
author Mahmoud, R. B.
Sarmin, N. H.
Erfanian, A.
Ahmad Fadzil, A. F.
author_facet Mahmoud, R. B.
Sarmin, N. H.
Erfanian, A.
Ahmad Fadzil, A. F.
author_sort Mahmoud, R. B.
title The Laplacian energy of conjugacy class graph of some dihedral groups
title_short The Laplacian energy of conjugacy class graph of some dihedral groups
title_full The Laplacian energy of conjugacy class graph of some dihedral groups
title_fullStr The Laplacian energy of conjugacy class graph of some dihedral groups
title_full_unstemmed The Laplacian energy of conjugacy class graph of some dihedral groups
title_sort laplacian energy of conjugacy class graph of some dihedral groups
publisher Penerbit UTM Press
publishDate 2017
url http://eprints.utm.my/id/eprint/80947/
http://dx.doi.org/10.11113/mjfas.v13n2.639
_version_ 1643658564033576960
score 13.15806

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