#7492: Decomposition of a doubly stochastic matrix as a convex sum of 
permutations
(Birkhoff–von Neumann Theorem)
-----------------------------+----------------------------------------------
   Reporter:  ncohen         |       Owner:  mhansen   
       Type:  enhancement    |      Status:  needs_info
   Priority:  major          |   Milestone:  sage-4.4.2
  Component:  combinatorics  |    Keywords:            
     Author:  Nathann Cohen  |    Upstream:  N/A       
   Reviewer:  Mike Hansen    |      Merged:            
Work_issues:                 |  
-----------------------------+----------------------------------------------
Changes (by ncohen):

  * status:  needs_work => needs_info


Comment:

 Hello !!

 This patch needed to be updated anyway, as it was veeeeery old and many
 things changed since. I will gladly add a chechking that the matrix is
 indeed bistochastic if you think it necessary (though I like to think of
 functions doing just what they are meant to, and not spend too much time
 checking the user is not doing anything wrong). It is not very long anyway
 :-)

    * Considering how the algorithm works, it does not really care about
 the base ring. Anyone will work (well, as long as it is completely ordered
 !), so Reals, Integers, Rationals are all ok. How would you like this to
 be mentionned ? I never use these types, and I do not know at all how it
 is usually done.

    * The doctests *needed* an optional package. With #8166, they don't
 anymore, and I will update the patch in consequence :-)

    * Sorry about the non-ASCII character !!

    * Another place where I wouldn't know how to do otherwise. There are
 some graph functions which are not method of the Graph object, just
 because they are too specific to be, and the users can find out about them
 by reading the reference manual, or the correct module. If it is not the
 custom in this part of Sage, where would you like to see it ? I have to
 admit I have no clue... :-)

 Thank you for your help !!

 Nathann

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7492#comment:10>
Sage <http://www.sagemath.org>
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