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