#13721: Additional tests for graph symmetries and an improvement of
is_vertex_transitive
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       Reporter:  azi             |         Owner:  jason, ncohen, rlm
           Type:  enhancement     |        Status:  needs_work        
       Priority:  major           |     Milestone:  sage-5.6          
      Component:  graph theory    |    Resolution:                    
       Keywords:                  |   Work issues:                    
Report Upstream:  N/A             |     Reviewers:                    
        Authors:  Jernej Azarija  |     Merged in:                    
   Dependencies:                  |      Stopgaps:                    
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Comment (by ncohen):

 Helloooooooo again !

 Well, the patch still does not apply on Sage even if that is no big deal
 (the last version is 5.6.beta1 and not 5.4, see [1]), but I have another
 question : why do you prefer to use {{{
 new_partition, T = self.automorphism_group(partition,translation=True)
 new_partition.is_transitive(domain=[T[x] for x in cell])
 }}}
 rather than
 {{{
 new_partition, T =
 self.automorphism_group(partition,return_group=False,translation=True)
 len(partition)=len(new_partition)
 }}}
 As I understand it, `new_partition` is necessarily more refined than
 `partition`, and they have the same length if and only if the group of
 automorphisms of `G` which respect `partition` has as orbits the list
 `partition`, which is exactly what we want `O_o`

 By the way, as it is the variable that you name `new_partition` is not a
 partition, but a Group.

 Nathann

 Nathann

 [1] https://groups.google.com/forum/?fromgroups#!forum/sage-release

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13721#comment:23>
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