#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 ncohen):

 Hello !

 > 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.

 Yepyep. Such a function will surely be useful.

 > 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.

 I wrote it for situations when the function that checks if a set is a base
 is very slow. It may not be very efficient in other cases, though it
 definitely uses the information that the property is hereditary.

 Good luck `;-)`

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/18485#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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