#18485: Make function to generate *all* independent sets.
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Reporter: Rudi | Owner: Rudi
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.8
Component: matroid theory | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by Rudi):
Hi Nathann,
I think you remember ticket #18183, on matroid polytopes. I saw that
discussion the other day and I had to agree that it is an omission that we
have no `.independent_sets()` method.
I want to optimize the running time. Maybe using
`subsets_with_hereditary_property` is a good choice for the top class
Matroids, I'll check it out. To improve upon
`BasisExchangeMatroid.independent_r_sets()` I will have to work harder.
Not sure even how much I can still squeeze out, we thoroughly optimized
that one. But even if I cannot improve the running time, it will be good
to have `.independent_sets()` in the interface.
Rudi
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Ticket URL: <http://trac.sagemath.org/ticket/18485#comment:4>
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