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

#### Abstract

*G*be a metacyclic 2-group and g

*amma(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

*i*th and

*j*th vertices and 0 otherwise. In this paper, the adjacency matrix of a conjugate graph of metacyclic 2-groups is presented.

#### Keywords

#### Full Text:

PDF#### References

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DOI: http://dx.doi.org/10.11113/mjfas.v13n2.640

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