#16214: Bug in is_hamiltonian: non-simple digraphs
-------------------------+-------------------------------------------------
       Reporter:         |        Owner:
  ncohen                 |       Status:  needs_work
           Type:         |    Milestone:  sage-6.2
  defect                 |   Resolution:
       Priority:  major  |    Merged in:
      Component:  graph  |    Reviewers:  Vincent Delecroix
  theory                 |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  3d0f21d564bee94bb12b408e30d84cbaef065c9d
  Nathann Cohen          |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  public/16214           |
   Dependencies:         |
  #16210                 |
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Changes (by vdelecroix):

 * status:  needs_review => needs_work


Comment:

 1) You forgot graphs on 1 vertex. As I was sure you would complain (and I
 am a smart guy) I did it.

 2) You forgot the graph on 0 vertex. For this one, the hamiltonicity
 depends on the definition of cycle. For me an empty cycle is a vertex, but
 this is perhaps not common in the graph community. So please further edit
 my commit.

 3) I am not convinced with
 {{{
 weight = lambda l : l if (l is not None and l) else 1
 }}}
 First of all as None evaluates to False, hence you can shorten it as
 {{{
 weight = lambda l: l if l else 1
 }}}
 which I definitely love ;-) On the other hand, it is not written anywhere
 that if I put a weight 0 and set `use_edge_labels=True` then my `0` will
 automatically become `1`.

--
Ticket URL: <http://trac.sagemath.org/ticket/16214#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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