#13721: Additional tests for graph symmetries and an improvement of
is_vertex_transitive
----------------------------------+-----------------------------------------
       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:                    
----------------------------------+-----------------------------------------

Comment (by ncohen):

 I wrote a patch ([attachment:trac_13721-rev.patch]) that changes the
 following :
 * The links toward the methods were broken (they point toward
 `GenericGraph` while the methods are now in `Graph`)
 * `def is_edge_transitive` was not properly indented.
 * adds documentation to all methods
 * fixes Sphinx problems

 And I just noticed that after all that the patch does not work....

 {{{
 sage: graphs.PetersenGraph().is_edge_transitive()
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /home/ncohen/.Sage/devel/sage-2/sage/graphs/<ipython console> in
 <module>()

 /home/ncohen/.Sage/local/lib/python2.7/site-packages/sage/graphs/graph.pyc
 in is_edge_transitive(self)
    2426         e = T[e[0]], T[e[1]]
    2427
 -> 2428         return gap("OrbitLength("+str(A._gap_())+"," + str(e) +
 ",OnSets);") == self.size()
    2429
    2430     def is_arc_transitive(self):

 /home/ncohen/.Sage/local/lib/python2.7/site-
 packages/sage/interfaces/interface.pyc in __call__(self, x, name)
     193
     194         if isinstance(x, basestring):
 --> 195             return cls(self, x, name=name)
     196         try:
     197             return self._coerce_from_special_method(x)

 /home/ncohen/.Sage/local/lib/python2.7/site-
 packages/sage/interfaces/expect.pyc in __init__(self, parent, value,
 is_name, name)
    1306             except (TypeError, KeyboardInterrupt, RuntimeError,
 ValueError), x:
    1307                 self._session_number = -1
 -> 1308                 raise TypeError, x
    1309         self._session_number = parent._session_number
    1310

 TypeError: Gap terminated unexpectedly while reading in a large line:
 Gap produced error output
 Error, OnSets: <set> must be a set (not a permutation (small))

    executing
 Read("/home/ncohen/.sage/temp/grotte/13489/interface/tmp13502");
 }}}

 And obvously the file graph.py does not pass all tests as it should :

 {{{
 ~/sage/graphs$ sage -t graph.py
 sage -t  "devel/sage-2/sage/graphs/graph.py"
 ...
 4 items had failures:
    4 of  11 in __main__.example_15
    2 of   7 in __main__.example_16
    1 of   7 in __main__.example_17
    2 of   9 in __main__.example_18
 ***Test Failed*** 9 failures.
 For whitespace errors, see the file /home/ncohen/.sage/tmp/graph_13567.py
          [20.2 s]

 ----------------------------------------------------------------------
 The following tests failed:


         sage -t  "devel/sage-2/sage/graphs/graph.py"
 Total time for all tests: 20.2 seconds
 }}}

 Nathann

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13721#comment:20>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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