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. 5965. ISSN 01279602

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Official URL: https://dx.doi.org/10.11113/matematika.v35.n1.1059
Abstract
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.
Item Type:  Article 

Uncontrolled Keywords:  dihedral groups, generalized quaternion groups, quasidihedral groups, conju gacy class graph, Laplacian energy, Laplacian matrix, eigenvalues 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  84841 
Deposited By:  Fazli Masari 
Deposited On:  29 Feb 2020 12:35 
Last Modified:  29 Feb 2020 12:35 
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