Hello group,

I have a few questions about combinatorics in sage.
Can one do the following in sage?

1) List of all possible labelings of the vertices or the edges of a
   graph up to isomorphism?  Is there a builtin for that kind of
   enumeration?

2) Assume that I have a group acting on a set of labelled graphs.  Is
   there a way to get the orbits of the group?

3) This is a special case of 2).  I would like to list all possible
   labellings of the vertices (or edges) of a graph up to cyclic
   rearranging.  In other words, I would like to list all possible
   cyclic orders of the vertices of a graph.

Thanks for any help,
Nikos


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