#6000: [with patch, positive review] Sets enumerated by exploring a search space
with a (lazy) tree or graph structure
---------------------------+------------------------------------------------
 Reporter:  nthiery        |       Owner:  nthiery                              
                  
     Type:  enhancement    |      Status:  assigned                             
                  
 Priority:  major          |   Milestone:  sage-4.0.1                           
                  
Component:  combinatorics  |    Keywords:  enumerate sets, depth first search, 
ideal of a relation
---------------------------+------------------------------------------------

Comment(by rbeezer):

 Passes tests:   ./sage -t devel/sage-backtrack/sage/combinat/

 Reviewer patch adds two doctests, and some general cleanup, so apply on
 top of the main patch.

 In the case of a search tree (not a graph), options for "leaves only"
 would be useful.  Then the generators could be checked for a first element
 when using a search tree for existence questions.

 Building a single function to call these routines as variants might ease
 the question of names and interfaces.

 Positive review.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6000#comment:3>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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