#19586: Add is_cayley_graph
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       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:                     |  4aaf3014fee5bb08d861636908d6733047d4a869
  u/jaanos/add_is_cayley_graph       |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by ncohen):

 Yo

 > vertices and edge labels ought to be words in group generators

 Why ? A group element does the job already.

 > 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 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.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/19586#comment:46>
Sage <http://www.sagemath.org>
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