The adjacency matrix of the conjugate graph of some metacyclic 2-groups
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 ent...
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| Main Authors: | , , |
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| Format: | Article |
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Penerbit UTM Press
2017
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/80937/ http://dx.doi.org/10.11113/mjfas.v13n2.640 |
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| Summary: | 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. |
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