#20800: The document of strongly_connected_components for Digraphs is incorrect
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   Reporter:  tmonteil      |            Owner:
       Type:  defect        |           Status:  new
   Priority:  major         |        Milestone:  sage-7.3
  Component:  graph theory  |         Keywords:
  Merged in:                |          Authors:
  Reviewers:                |  Report Upstream:  N/A
Work issues:                |           Branch:
     Commit:                |     Dependencies:
   Stopgaps:                |
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 As reported in [http://ask.sagemath.org/question/33735/finding-number-of-
 strongly-connected-components/ this ask question], the document says:

 {{{
    This routine returns a pair "[nscc, scc]", where "nscc" is the
    number of SCCs and "scc" is a dictionary associating to each vertex
    "v" an integer between "0" and "nscc-1", corresponding to the SCC
    containing "v". SCCs are numbered in reverse topological order,
    that is, if "(v,w)" is an edge in the graph, "scc[v] <= scc[w]".
 }}}

 while the method returns a list of lists of vertices, see:

 {{{
 sage: G = digraphs.DeBruijn(2,2)
 sage: G.strongly_connected_components()
 [['00', '01', '10', '11']]
 sage: G.strongly_connected_components?
 }}}

 The documentation itself shows examples of this, so the description should
 be updated.

--
Ticket URL: <http://trac.sagemath.org/ticket/20800>
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