Alimon, Nur Idayu and Sarmin, Nor Haniza and Ahmad Fadzil, Amira Fadina (2018) The energy of four graphs of some metacyclic 2groups. Malaysian Journal of Fundamental and Applied Sciences, 14 (1). pp. 5966. ISSN 22895981

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Official URL: http://dx.doi.org/10.11113/mjfas.v14n1.792
Abstract
Let G be a metacyclic 2group and gamma_G is the graph of G. The adjacency matrix of gamma_G is a matrix A=[a_ij] consisting of 0's and 1's in which the entry a_ij is 1 if there is an edge between the ith and jth vertices and 0 otherwise. The energy of a graph is the sum of all absolute values of the eigenvalues of the adjacency matrix of the graph. In this paper, the energy of commuting graph, noncommuting graph, conjugate graph and conjugacy class graph of metacyclic 2groups are presented. The results show that the energy of these graphs of the groups must be an even integer.
Item Type:  Article 

Uncontrolled Keywords:  adjacency matrix, conjugacy class 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  85480 
Deposited By:  Widya Wahid 
Deposited On:  30 Jun 2020 16:45 
Last Modified:  30 Jun 2020 16:45 
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