#13917: IndependentSets class
----------------------------+-----------------------------------------------
   Reporter:  ncohen        |             Owner:  jason, ncohen, rlm
       Type:  enhancement   |            Status:  new               
   Priority:  major         |         Milestone:  sage-5.6          
  Component:  graph theory  |          Keywords:                    
Work issues:                |   Report Upstream:  N/A               
  Reviewers:                |           Authors:  Nathann Cohen     
  Merged in:                |      Dependencies:                    
   Stopgaps:                |  
----------------------------+-----------------------------------------------
 I'm rather disappointed by this patch. Or I'm pleasantly surprised by
 Python, I don't know. I expected a much better speedup.

 {{{
 sage: g = graphs.RandomGNP(50,.7)
 sage: import networkx
 sage: gn = g.networkx_graph()
 sage: %timeit list(networkx.find_cliques(gn))
 5 loops, best of 3: 79.8 ms per loop
 sage: %timeit list(IndependentSets(g,complement=True, maximal = True))
 25 loops, best of 3: 26.4 ms per loop
 }}}

 Either way, this patch implements a `sage.graphs.independent_set` module
 that can list/count (possibly maximal) independent sets in a small graph
 (<64 vertices).

 And count them.

 Anyway, don't hesitate to tell me that this patch is useless if you feel
 like it. I'm not *that* convinced either.

 Nathann

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13917>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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