#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:                     |  2e14f6959299bbcca913eef22822ae9c51b2fc84
  u/jaanos/add_is_cayley_graph       |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by ncohen):

 Hello,

 > Thanks! Will do, just a bit later (currently I'm trying various
 solutions for #19585).

 Okayyyyyy.

 > Sure. By the way, do we have any easily-constructible multigraphs/graphs
 with loops ready? Otherwise there'd be a few lines of code just to
 construct the graph.

 The only ones I know are the directed GNP:
 {{{
 sage: digraphs.RandomDirectedGNP(5,.2,loops=True)
 RandomDirectedGNP(5,0.200000000000000): Looped digraph on 5 vertices
 }}}

 > Also, `cayley_graph` on a group will not return multiedges or loops,
 even when the generators contain repeated elements or the identity and
 `simple` is set to `False`. So maybe this is something that should be
 changed.

 If you have a use for something like that, of course.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/19586#comment:18>
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