#15495: Flip graph of pure simplicial complex
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       Reporter:  stumpc5            |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.1
      Component:  combinatorics      |   Resolution:
       Keywords:  simplicial         |    Merged in:
  complex                            |    Reviewers:
        Authors:  Christian Stump    |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  10ab84bb32b14ce82e2ba4a2a66a72edd972c1ab
  u/stumpc5/ticket/15495             |     Stopgaps:
   Dependencies:                     |
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Comment (by ncohen):

 Yop !

 I don't know much about simplicial complices, yet I think it would be
 terribly faster if you created this graph in two steps :
 1) Create a dictionary associating to each d-1 face the list of all facets
 that contain it
 2) For each facet, create an edge between any two of the faces that
 contain it

 In order to build 1), it would be cool if there was a quick way to list
 the d-1 faces contained in a d-face. If there isn't just creating the
 dictionary :
 `{dm1_face : [f for f in self.faces() if dm1_face.is_face(f)] for dm1_face
 in self.n_faces(d-1)}`

 Already makes you earn an order of magnitude.

 Besides, if `.faces()` can contain a lot of faces of order `<d-1`, it
 would probably be better to filter them out first, as you test face
 containment VERY often.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/15495#comment:3>
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