#18347: implement the shard intersection order on permutations
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       Reporter:         |        Owner:
  chapoton               |       Status:  needs_work
           Type:         |    Milestone:  sage-6.7
  enhancement            |   Resolution:
       Priority:  minor  |    Merged in:
      Component:         |    Reviewers:
  combinatorics          |  Work issues:
       Keywords:  poset  |       Commit:
        Authors:         |  e32ecc3a9702cc7ab69ba180eb75f02623418186
  Frédéric Chapoton      |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/chapoton/18347       |
   Dependencies:         |
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Comment (by chapoton):

 Thanks for the comments. I have corrected the two minor ones.

 About the caching: indeed, this is used only in the poset, but used many
 times.

 It is not clear to me how to avoid that. One could precompute in the poset
 method all
 these digraphs, and keep them in a list or a dictionary, and make the
 `shard_compares` method an internal one. I am not convinced that this
 would make things more clear.

--
Ticket URL: <http://trac.sagemath.org/ticket/18347#comment:8>
Sage <http://www.sagemath.org>
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