I don't think we were ever competitive with nauty speed-wise. But the
code has been written to a very high level of generality and is
capable of working with any objects whose symmetry groups are
interpreted in S_n with only a small amount of work. It has also been
through a lot of debugging and use, and I haven't had a bug report in
years.

On Mon, Oct 5, 2015 at 12:44 PM, David Joyner <wdjoy...@gmail.com> wrote:
> On Mon, Oct 5, 2015 at 2:14 PM, Stefan <stefanvanz...@gmail.com> wrote:
>> Hi guys,
>>
>> Everybody knows nauty (and maybe traces?) is the state of the art in graph
>> isomorphism and canonical labeling of graphs. What I don't know (but maybe
>> you do?) is how far SageMath is lagging behind. Did anyone do any testing on
>> this? I saw a mention of a paper by Robert Miller, but the link was dead.
>>
>> I'd appreciate any pointers!
>>
>
> Google for the 2007 thread
>
> open source "nauty"
>
> by Robert Miller.
>
> If sage/boxen was still around, the directory rlmill might have some old 
> slides.
>
> My very vague memory is that the cython versions were comparable to nauty
> and that saying "Everybody knows nauty (and maybe traces?) is the
> state of the art in graph
> isomorphism and canonical labeling of graphs" is debatable since
> everyone also knows
> Robert's implementation in cython has been around since 2008:-)
>
>
>
>> Cheers,
>>
>
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-- 
Robert L. Miller
http://www.rlmiller.org/
http://www.linkedin.com/in/drrlm

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