Universiti Teknologi Malaysia Institutional Repository

The adjacency matrix of the conjugate graph of some metacyclic 2-groups

Alimon, N. I. and Sarmin, N. H. and Ahmad Fadzil, A. F. (2017) The adjacency matrix of the conjugate graph of some metacyclic 2-groups. Malaysian Journal of Fundamental and Applied Sciences, 13 (2). ISSN 2289-5981

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Official URL: http://dx.doi.org/10.11113/mjfas.v13n2.640

Abstract

Let G be a metacyclic 2-group and gamma(conj,G) is the conjugate graph of G. The vertices of gamma(conj,G) are non-central elements in which two vertices are adjacent if they are conjugate. The adjacency matrix of gamma(conj,G) is a matrix A=[a(i,j)] consisting 0's and 1's in which the entry a(i,j) is 1 if there is an edge between ith and jth vertices and 0 otherwise. In this paper, the adjacency matrix of a conjugate graph of metacyclic 2-groups is presented.

Item Type:Article
Uncontrolled Keywords:conjugacy class, conjugate graph, metacyclic group
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:80937
Deposited By: Narimah Nawil
Deposited On:24 Jul 2019 00:10
Last Modified:24 Jul 2019 00:10

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