#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:                     |
-------------------------------------+-------------------------------------

Comment (by dimpase):

 Replying to [comment:34 dimpase]:
 > Replying to [comment:33 jaanos]:
 > > Hi!
 > >
 > > > as a switch to `libgap` will happen sooner or later, optimising for
 not reading GAP output
 > > > does not seem to be that important.
 > >
 > > I see. But should I do anything about it at this point?
 > >
 > > > this ceritainly looks better, but again, I don't like the counter-
 intuitive parameters of `is_cayley()` and weird sort of output (a pair)
 that you currently have. In particular the latter.
 > >
 > > I have modelled both input and output of `is_cayley` after methods
 such as `is_chordal` and `is_circulant`.

 interestingly,  `is_circulant` implements a naive brute-force algorithm,
 and docs don't mention that there is a
 
[http://www.ams.org/journals/spmj/2004-15-06/S1061-0022-04-00833-7/S1061-0022-04-00833-7.pdf
 polynomial-time algorithm]. (Which is also not mentioned on the wikipedia
 page it refers to. Perhaps I should edit the latter...)

--
Ticket URL: <http://trac.sagemath.org/ticket/19586#comment:49>
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