#14655: Dynkin diagrams does not copy like digraph
-----------------------------+----------------------------------------------
   Reporter:  tscrim         |             Owner:  sage-combinat      
       Type:  defect         |            Status:  new                
   Priority:  major          |         Milestone:  sage-5.10          
  Component:  combinatorics  |          Keywords:  dynkin diagram copy
Work issues:                 |   Report Upstream:  N/A                
  Reviewers:                 |           Authors:                     
  Merged in:                 |      Dependencies:                     
   Stopgaps:                 |  
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 Initializing:
 {{{
 sage: d = DynkinDiagram(['B',3,1])
 sage: g = DiGraph()
 sage: for x in d.vertices(): g.add_vertex(x)
 sage: for y in d.edges(): g.add_edge(y)
 sage: cd = copy(d)
 sage: cg = copy(g)
 sage: cd is d
 False
 sage: cd == d and cg == g
 True
 }}}
 Now the correct behavior using `DiGraph`:
 {{{
 sage: g.vertices()
 [0, 1, 2, 3]
 sage: cg.vertices()
 [0, 1, 2, 3]
 sage: cg.add_vertex(4)
 sage: g.vertices()
 [0, 1, 2, 3]
 sage: cg.vertices()
 [0, 1, 2, 3, 4]
 }}}
 The error with `DynkinDiagram`:
 {{{
 sage: d.vertices()
 [0, 1, 2, 3]
 sage: cd.vertices()
 [0, 1, 2, 3]
 sage: cd.add_vertex(4)
 sage: cd.vertices()
 [0, 1, 2, 3, 4]
 sage: d.vertices()
 [0, 1, 2, 3, 4]
 }}}

 This causes problems with `automorphism_group(edge_labels=True)` noticed
 by Mark Shimozono.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14655>
Sage <http://www.sagemath.org>
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