#18485: Make function to generate *all* independent sets.
-------------------------------------+-------------------------------------
       Reporter:  Rudi               |        Owner:  Rudi
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.0
      Component:  matroid theory     |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Rudi Pendavingh    |    Reviewers:  Vincent Delecroix,
Report Upstream:  N/A                |  Travis Scrimshaw
         Branch:                     |  Work issues:
  u/tscrim/matroid_all_independent_sets-18485|       Commit:
   Dependencies:                     |  e13d3b9824a3daff353a47830bc96aca9bce65bc
                                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by tscrim):

 * status:  needs_work => needs_review


Comment:

 Whoops, sorry about that. Fixed and you shouldn't have to do anything
 special because I just reverted my bad merge.

 I did some testing and found that the extra copying of the sets plus the
 conversion to a frozenset was just as slow if not slower than doing the
 union with the frozenset.

 However I was able to optimize the method by special casing when `r` is at
 the full rank. The `BetsyRoss().independent_sets()` time when from 4.8s to
 1.6s and `R98().independent_sets()` went from 4.8s to 2.8s on my machine.

 Thanks for the explanations Rudi.

--
Ticket URL: <http://trac.sagemath.org/ticket/18485#comment:57>
Sage <http://www.sagemath.org>
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