#18063: Add random generation to Gelfand-Tsetlin triangles
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       Reporter:  deinst             |        Owner:  deinst
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.6
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  David Einstein     |    Reviewers:  kdilks
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/kdilks/random_gelfand_tsetlin    |  8ad564c0e6c6457c7d0e73b6a9365255814c3c24
   Dependencies:                     |     Stopgaps:
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Comment (by kdilks):

 1) Doc-build yelled at me for trying to add a reference that was already
 included somewhere else, so I guess you were right to leave it out. I may
 still tweak the documentation a little, so that the mention of Propp's
 algorithm and the fact that it gives a uniformly random Gelfand-Tsetlin
 pattern is also attached to random_element() so it shows up in the built
 reference documents, not just attached to a helper method you can only see
 in the source code.

 2) The algorithm will loop indefinitely if self is empty, so it now raises
 an error if your input has a combination of k,n,and strict that will yield
 no Gelfand-Tsetlin patterns (k<0 if not strict, k+1<n if strict).

 3) random_element() now returns a 'Gelfand-Tsetlin pattern' (in the sage
 data type sense), rather than just the underlying list of lists.

 I'm ok with a positive review, pending you checking my modifications.

--
Ticket URL: <http://trac.sagemath.org/ticket/18063#comment:12>
Sage <http://www.sagemath.org>
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