#6812: Enumerate integer list up to the action of a Permutation Group
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   Reporter:  nborie         |       Owner:  nborie                             
           
       Type:  enhancement    |      Status:  needs_review                       
           
   Priority:  major          |   Milestone:  sage-4.3.3                         
           
  Component:  combinatorics  |    Keywords:  enumeration, integer, list, 
permutation, group
     Author:  nborie         |    Upstream:  N/A                                
           
   Reviewer:                 |      Merged:                                     
           
Work_issues:                 |  
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Changes (by nborie):

  * status:  needs_work => needs_review


Old description:

> The goal is to enumerate lists up to the action of a Permutation Group.
> The final function is generate_list_of_sum(integer) which give all list
> which sum over all element is the integer.
>
> The module in patch use the orderly generating algorithm. The goal is to
> select list which are maximals according the lexicographic order.
>
> There is a lot of test on this module( strong_generating_system() are
> also test indirectly in this module... )
>
> depends on #6647 and the category framework #5891

New description:

 The goal is to enumerate lists up to the action of a Permutation Group.
 The final function is generate_list_of_sum(integer) which give all list
 which sum over all element is the integer.

 The module in patch use the orderly generating algorithm. The goal is to
 select list which are maximals according the lexicographic order.

 There is a lot of test on this module( strong_generating_system() are also
 test indirectly in this module... )

 depends on #8288  #6647 and the category framework #5891

--

Comment:

 The patch use now the generic code from Search Forest
 (breadth_first_search....). So this patch now depends on #8288

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6812#comment:12>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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