#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):

 Replying to [comment:12 ncohen]:
 > Hello everybody !!!

 ...

 >
 > Besides, your friend was talking about "different subsets of numbers".
 Well,
 > I only met this problem for 0-1 matrices and I assume your are not
 talking about
 > replacing 0 by x and 1 by y... Do you mean that there is a version of
 this theorem
 > working simultaneously for several types of different variables (with
 two partitions
 > per type of variable, etc...)  ?? This would interest me very much !!
 >


 Yes, he indicated that a very simple modification of the construction
 should
 allow one to construct matrices whose entries are in (say) {0,1, ...,
 m-1},
 with give column sums and given row sums if one exists. (Here m > 1 is
 a user-supplied integer which is m=2 in your current implementation.)


 > Thank you for your interest !
 >
 > Nathann

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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7301#comment:14>
Sage <http://www.sagemath.org>
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