#8953: Perfect graph recognition algorithm
-----------------------------+----------------------------------------------
   Reporter:  ncohen         |       Owner:  jason, ncohen, rlm
       Type:  enhancement    |      Status:  needs_work        
   Priority:  minor          |   Milestone:  sage-4.5          
  Component:  graph theory   |    Keywords:                    
     Author:  Nathann Cohen  |    Upstream:  N/A               
   Reviewer:  Robert Miller  |      Merged:                    
Work_issues:                 |  
-----------------------------+----------------------------------------------
Changes (by rlm):

  * status:  positive_review => needs_work
  * reviewer:  => Robert Miller


Comment:

 After sage-4.5.alpha1 is released, this will lead to a failed doctest:

 {{{
 **********************************************************************
 File "/scratch/rlmill/release/sage-4.5.alpha1/devel/sage-
 main/sage/graphs/graph.py", line 1629:
     sage: g.is_perfect()
 Exception raised:
     Traceback (most recent call last):
       File
 "/scratch/rlmill/release/sage-4.5.alpha1/local/bin/ncadoctest.py", line
 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File
 "/scratch/rlmill/release/sage-4.5.alpha1/local/bin/sagedoctest.py", line
 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File
 "/scratch/rlmill/release/sage-4.5.alpha1/local/bin/ncadoctest.py", line
 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_11[5]>", line 1, in <module>
         g.is_perfect()###line 1629:
     sage: g.is_perfect()
       File "/scratch/rlmill/release/sage-4.5.alpha1/local/lib/python/site-
 packages/sage/graphs/graph.py", line 1702, in is_perfect
         counter_example = self.subgraph_search(graphs.CycleGraph(i),
 induced = True).complement()
     AttributeError: 'NoneType' object has no attribute 'complement'
 **********************************************************************
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8953#comment:10>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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