#19586: Add is_cayley_graph
-------------------------------------+-------------------------------------
Reporter: jaanos | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: graph theory | Resolution:
Keywords: Cayley graphs | Merged in:
groups | Reviewers:
Authors: Janoš Vidali | Work issues:
Report Upstream: N/A | Commit:
Branch: | 382c0f2daa019b8ba1c96462dbcdbab9ad2ee6a2
u/jaanos/add_is_cayley_graph | Stopgaps:
Dependencies: |
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Comment (by dimpase):
Replying to [comment:46 ncohen]:
> Yo
>
> > vertices and edge labels ought to be words in group generators
>
> Why ? A group element does the job already.
cause you need `n^2` as opposed to `n log(n)` storage, making graphs that
are easily handled by GRAPE out of reach.
>
> > Actually, all you need to store is
[https://en.wikipedia.org/wiki/Schreier_vector "Schreier vector"], and
compute vertex and edge labels on the fly.
>
> That sounds like "something you might want to have", not "something that
you can request the ticket's author to implement for you, as a reviewer"
Certainly. It seems to be better to write it here than per email. I
certainly not insist on it being implemented here on this ticket.
>
> > Certainly keeping edge labels for each edge is silly, as they are
trivially computed from the edge labels for one fixed vertex.
>
> Sure, but this way if you type `g.edge_labels()` you obtain the list of
generators. It is only a proposition: I don't use cayley graph much, and
though I can review some of the code the design is best chosen by those
who might need the feature. You two, in the current situation.
----
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=382c0f2daa019b8ba1c96462dbcdbab9ad2ee6a2
382c0f2]||{{{Rename transitive_subgroup to regular_subgroup}}}||
--
Ticket URL: <http://trac.sagemath.org/ticket/19586#comment:48>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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