#7301: Gale Ryser theorem
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   Reporter:  ncohen         |       Owner:  mhansen     
       Type:  enhancement    |      Status:  needs_review
   Priority:  major          |   Milestone:  sage-4.3    
  Component:  combinatorics  |    Keywords:              
Work_issues:                 |      Author:              
   Upstream:  N/A            |    Reviewer:              
     Merged:                 |  
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Comment(by wdj):

 I am not an expert but I do have a colleague who not only wrote his thesis
 on a related result but claims that the Gale-Ryser theorem was one of the
 results which inspired him to become a combinatorialist.

 He is not satisfied with your implementation. He had problems with the
 wording of the documentation, though he admitted this was only a minor
 issue. (For example, "dominated" should be "majorized"...) More important,
 he believed, was that the only construction implemented was a special one
 (in particular, Ryser's construction was not implemented). Without being
 specific, he said that more options should be available to the user, to
 allow for different types of features/constructions.
 (For example, one could allow matrices taken from another subset of
 numbers, as opposed to just {0,1}.)

 He was also hoping to have a construction of the graph-theoretic analog
 (given a possible degree sequence, construct a graph having that degree
 sequence). I presume though that, if you decided to implement that, you
 would create a separate ticket.

 Thanks very much for working on this! I know this is a bit vague, so
 please ask questions and I will ask for more details from my colleague.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7301#comment:10>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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