#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 ncohen):

 Yo,

 > 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?

 `copy(a_graph)` does what you want, though it is less explicit. Volker
 insisted that `copy(something)` should always be mutable, while I insisted
 that `copy(a_graph)` should not take 3Gig in memory if `a_graph` only
 takes 100Mo.

 Life.

 > 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?

 "Depends on the graphs", but truth is that I don't know. Give it a try,
 see how bad it is, and if you really don't know this can become another
 optional test. Well, do the smart/responsible thing, as always.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/20061#comment:9>
Sage <http://www.sagemath.org>
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