sage: G1.spanning_trees_count(root_vertex=0)
27202601182632270746156805986464038912000
sage: G2.spanning_trees_count(root_vertex=6)
27202601182632270746156805986464038912000

On Sun, 18 Jun 2023 at 09:49, Georgi Guninski <[email protected]> wrote:
>
> On Sun, Jun 18, 2023 at 10:16 AM Emmanuel Briand
> <[email protected]> wrote:
> >
> > Have you taken into account the following?
> >
> > ignature:      G1.spanning_trees_count(root_vertex=None)
> > Docstring:
> >    Return the number of spanning trees in a graph.
> >
> >    In the case of a digraph, counts the number of spanning out-trees
> >    rooted in "root_vertex".  Default is to set first vertex as root.
> >
> >
>
> Thanks, I should have RTFM.
>
> This still doesn't work for me:
>
> sage: 
> G1.spanning_trees_count(root_vertex=None),G2.spanning_trees_count(root_ver
> ....: tex=None)
> (27202601182632270746156805986464038912000,
>  40803901773948406119235208979696058368000)
>
>
> Is it rigorous to set c1=G1.spanning_trees_count()
> and then do:
>
> sage: c1=G1.spanning_trees_count()
> sage: for i in range(G1.order()):
> ....:     c2=G2.spanning_trees_count(i)
> ....:     if c2==c1:  print(i)
> ....:
> 6
>
> I expect for isomorphic multi digraphs the loop to find equal c1,c2?
>
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