#20061: Add method for finding all perfect matchings to Graph
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       Reporter:  egunawan           |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-7.1
      Component:  graph theory       |   Resolution:
       Keywords:  perfect matching,  |    Merged in:
  graph                              |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/egunawan/20061   |  da6befdeec141f05f665de5e5322752c2751f2ef
   Dependencies:                     |     Stopgaps:
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Comment (by tscrim):

 Replying to [comment:6 ncohen]:
 > - Your method probably fails on a graph like
 `graphs.PetersenGraph().copy(immutable=True)`.

 Ah, right; copying an immutable graph does nothing. Emily, you need `Gp =
 self.copy(immutable=False)`. Could you also add a test against immutable
 graphs?

 > - I discussed with Travis the advantages of checking (with
 `.matching()`) that the graph actually contains a perfect matching before
 recursing. Is there a reason why you decided against it ?

 This is my fault; I had forgotten to mention this to her. How rare would
 you say it is that a graph does not have a perfect matching but each
 connected component has an even number of vertices?

--
Ticket URL: <http://trac.sagemath.org/ticket/20061#comment:8>
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