#12770: cartesian product of directed graphs
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       Reporter:  chapoton                 |         Owner:  jason, ncohen, rlm
           Type:  defect                   |        Status:  needs_review      
       Priority:  major                    |     Milestone:  sage-5.0          
      Component:  graph theory             |    Resolution:                    
       Keywords:  directed graph, product  |   Work issues:                    
Report Upstream:  N/A                      |     Reviewers:                    
        Authors:  David Coudert            |     Merged in:                    
   Dependencies:                           |      Stopgaps:                    
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Comment (by dcoudert):

 Unfortunately your proposal is slower than the implementation of this
 patch.

 With this patch:
 {{{
 sage: g = graphs.GridGraph([10,10]); g
 Grid Graph for []: Graph on 100 vertices
 sage: h = graphs.CubeGraph(8); h
 8-Cube: Graph on 256 vertices
 sage: %timeit gg = g.cartesian_product(h)
 5 loops, best of 3: 1.31 s per loop
 sage: %timeit gg = h.cartesian_product(g)
 5 loops, best of 3: 1.31 s per loop
 }}}

 With your proposal on the same graphs:
 {{{
 sage: %timeit gg = g.cartesian_product(h)
 5 loops, best of 3: 1.9 s per loop
 sage: %timeit gg = h.cartesian_product(g)
 5 loops, best of 3: 1.9 s per loop
 }}

 So I propose to stay with current implementation.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12770#comment:11>
Sage <http://www.sagemath.org>
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