#10874: Add support for keep_labels in
Digraph.strongly_connected_components_digraph
---------------------------------+------------------------------------------
   Reporter:  nthiery            |       Owner:  jason, ncohen, rlm           
       Type:  enhancement        |      Status:  positive_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')]
> }}}
>
> APPLY:
>
>     * trac_10874-graph-strongly_connected_componnents-nt.patch
>     * trac_10874-reviewer.patch

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

--

Comment(by nthiery):

 Oops; I need to recheck my workflow; I forgot this way too many times
 lately. Sorry!

 While I was at it, I folded the two patches together. No other changes.

 trac_10874-reviewer.patch can now be deleted from trac.

 Cheers,
                     Nicolas

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10874#comment:5>
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