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The energy of four graphs of some metacyclic 2-groups

Alimon, Nur Idayu and Sarmin, Nor Haniza and Ahmad Fadzil, Amira Fadina (2018) The energy of four graphs of some metacyclic 2-groups. Malaysian Journal of Fundamental and Applied Sciences, 14 (1). pp. 59-66. ISSN 2289-5981

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Official URL: http://dx.doi.org/10.11113/mjfas.v14n1.792

Abstract

Let G be a metacyclic 2-group 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, non-commuting graph, conjugate graph and conjugacy class graph of metacyclic 2-groups 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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