>
>
> >
> > Is this a bug or am I simply missing some parameter to resolve this
> issue?
> >
>
> I don't think this is a bug.
>
> It looks to me like G.automorphism_group() is returning an abstract
> permutation group. For a lot of random graphs this is going to be the
> trivial group "Permutation Group with generators [()]" (a random graph
> is likely to have no symmetry). The natural (non-empty) domain for the
> action of such a group is a singleton set and there is of course only
> one orbit there. Notice that G.automorphism_group().domain() returns
> {1}, it's the domain of a permutation group on {1, ... , n}.
>
> I guess what you want is the automorphism group along with it's action
> on the set of vertices of the graph.
>
> One simple thing you can do is call:
>
> sage: A = G.automorphism_group(orbits=True)
>
> to get the abstract group back along with the set of orbits. Also, by
> setting `translation=True` you can also get a dictionary back that
> provides translation from vertices {0, 1, ..., n} to the domain set of
> the permutation group (a subset of {1, ... , n+1}).
>
> --
>
Hmm, that is very useful to me as well. Thanks!
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