#8288: Depth/Breadth improvement for SearchForest
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   Reporter:  nborie         |       Owner:  sage-combinat                      
      
       Type:  enhancement    |      Status:  new                                
      
   Priority:  major          |   Milestone:  sage-4.3.3                         
      
  Component:  combinatorics  |    Keywords:  enumeration depth breadth forest 
children
     Author:                 |    Upstream:  N/A                                
      
   Reviewer:                 |      Merged:                                     
      
Work_issues:                 |  
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 The goal of this patch is to include breadth enumeration method for
 SearchForest...

 The interested is for enumerated Set defined by a set of roots and a
 children function. For a finite set of roots but infinite set (infinite
 depth of the tree), the breadth method is a necessity.

 The breadth method is also a need to define properly indices of infinite
 Graded algebra (but finite degree by degree). The patch contains method
 returning iterator of all element of given depth.

 Using extra argument : father and next_brother method, it is possible to
 enumerate not starting from the roots of trees. a _iter_from_to method
 build an iterator keeping nothing in memory than the first and the last
 point.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8288>
Sage <http://www.sagemath.org>
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