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The Laplacian energy of conjugacy class graph of some dihedral groups

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

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Official URL: http://dx.doi.org/10.11113/mjfas.v13n2.639

Abstract

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.

Item Type:Article
Uncontrolled Keywords:conjugacy class graph, Laplacian energy
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:80947
Deposited By: Narimah Nawil
Deposited On:24 Jul 2019 00:13
Last Modified:24 Jul 2019 00:13

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