#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

--
Ticket URL: <http://trac.sagemath.org/ticket/18485#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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