Dear Asma,
There is a question "Permutability Graph with GAP"
on Mathematics Q&A site, which you may find useful:
http://math.stackexchange.com/q/1149728/
You may start with modifying the construction of the
adjacency matrix for a different vertices set and
different condition for the vertices to be connected.
Hope this helps
Alexander
> On 11 Oct 2015, at 08:54, asma hamze <hamze2...@yahoo.com> wrote:
>
> Dear forum,
> Can someone help with the construction a graph with program in GAP?A graph
> fora group G, where its vertices set is G and two element x,y of G are
> connectedif o(x)|o(y) or o(y)|o(x). Also, what is the automorphism group of
> this graph?
> With best regards.
> Asma.
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