#10874: Add support for keep_labels in
Digraph.strongly_connected_components_digraph
---------------------------------+------------------------------------------
   Reporter:  nthiery            |       Owner:  jason, ncohen, rlm           
       Type:  enhancement        |      Status:  needs_review                 
   Priority:  major              |   Milestone:  sage-4.7                     
  Component:  graph theory       |    Keywords:  strongly connected components
     Author:  Nicolas M. ThiƩry  |    Upstream:  N/A                          
   Reviewer:  Nathann Cohen      |      Merged:                               
Work_issues:                     |  
---------------------------------+------------------------------------------

Old description:

> With keep_labels=True, the method
> Digraph.strongly_connected_components_digraph keeps the label on edges
> when contracting strongly connected components, and returns a multi-
> digraph::
> {{{
>             sage: g = DiGraph({0:{1:"0-12", 2: "0-12", 3: "0-3"}, 1: {2:
> "1-2", 3: "1-3"}, 2:{1: "2-1", 3: "2-3"}})
>             sage: scc_digraph =
> g.strongly_connected_components_digraph(keep_labels = True)
>             sage: scc_digraph.edges()
>             [({0}, {3}, "0-3"), ({0}, {1, 2}, '0-12'),
>              ({1, 2}, {3}, '1-3'), ({1, 2}, {3}, '2-3'),
>              ({1, 2}, {1, 2}, '1-2'), ({1, 2}, {1, 2}, '2-1')]
> }}}

New description:

 With keep_labels=True, the method
 Digraph.strongly_connected_components_digraph keeps the label on edges
 when contracting strongly connected components, and returns a multi-
 digraph::
 {{{
             sage: g = DiGraph({0:{1:"0-12", 2: "0-12", 3: "0-3"}, 1: {2:
 "1-2", 3: "1-3"}, 2:{1: "2-1", 3: "2-3"}})
             sage: scc_digraph =
 g.strongly_connected_components_digraph(keep_labels = True)
             sage: scc_digraph.edges()
             [({0}, {3}, "0-3"), ({0}, {1, 2}, '0-12'),
              ({1, 2}, {3}, '1-3'), ({1, 2}, {3}, '2-3'),
              ({1, 2}, {1, 2}, '1-2'), ({1, 2}, {1, 2}, '2-1')]
 }}}

 APPLY:

     * trac_10874-graph-strongly_connected_componnents-nt.patch
     * trac_10874-reviewer.patch

--

Comment(by ncohen):

 What about avoiding to test "keep_labels" twice ? `:-)`

 Here is a reviewer patch which does just that. Your patch is good to go,
 so you can set this ticket to "positive review" if you agree with my
 modifications, and also if you don't for some reason (please update the
 "apply" section in this case) `:-)`

 Nathann

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10874#comment:2>
Sage <http://www.sagemath.org>
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