#18183: Implement two matroid polytopes
-------------------------+-------------------------------------------------
       Reporter:         |        Owner:
  chapoton               |       Status:  needs_review
           Type:         |    Milestone:  sage-6.6
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:
  matroid theory         |  Work issues:  documentation
       Keywords:         |       Commit:
  matroid polytope       |  6484e7198d41b716f4cb70dcf56ea7d849a6ce90
        Authors:         |     Stopgaps:
  Frédéric Chapoton      |
Report Upstream:  N/A    |
         Branch:         |
  u/chapoton/18183       |
   Dependencies:         |
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Comment (by ncohen):

 Algorithmicaly it looks a bit weird to do something like that:

 {{{
 vertices = [ambient.sum(vector_e[convert[i]] for i in IS)
             for r in range(self.full_rank() + 1)
             for IS in self.independent_r_sets(r)]
 }}}

 You enumerate the 'r+1' independent sets without using the information you
 got from the sets of order 'r'.

 I don't know if it can be useful here, but there is something *very*
 related in Sage:

 
http://www.sagemath.org/doc/reference/combinat/sage/combinat/subsets_hereditary.html

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/18183#comment:8>
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