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: Alimon, N. I., Sarmin, N. H., Ahmad Fadzil, A. F.
格式: Article
出版: Penerbit UTM Press 2017
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在线阅读:http://eprints.utm.my/id/eprint/80937/
http://dx.doi.org/10.11113/mjfas.v13n2.640
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总结: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.