#14099: Adding Method for testing avoidance in posets
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       Reporter:  chrisjamesberg                      |         Owner:  rowland 
           Type:  enhancement                         |        Status:  new     
       Priority:  minor                               |     Milestone:  sage-5.7
      Component:  combinatorics                       |    Resolution:          
       Keywords:  posets                              |   Work issues:          
Report Upstream:  N/A                                 |     Reviewers:  saliola 
        Authors:  chrisjamesberg, rowland, ahmorales  |     Merged in:          
   Dependencies:                                      |      Stopgaps:          
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Comment (by rowland):

 I don't think subgraph_search answers the same question....

 Using induced=True results in the poset Poset({0 : [], 1 : [2], 2 : [3]})
 which is 3+1 being (3+1)-free:

 {{{
 # g is the transitive closure
 sage: g = DiGraph({0 : [], 1 : [2, 3], 2 : [3]})
 sage: g.subgraph_search(DiGraph({0 : [1], 1 : [2]}) + DiGraph({0 : []}),
 induced=True)
 }}}

 Using induced=False results in the poset Poset({0 : [1, 2], 2 : [3]})
 which is (3+1)-free containing (3+1):

 {{{
 # g is the transitive closure
 sage: g = DiGraph({0 : [1, 2, 3], 2 : [3]})
 sage: g.subgraph_search(DiGraph({0 : [1], 1 : [2]}) + DiGraph({0 : []}),
 induced=False)
 Subgraph of (): Digraph on 4 vertices
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14099#comment:7>
Sage <http://www.sagemath.org>
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