#6962: Feedback vertex set, Feedback arc set
----------------------------+-----------------------------------------------
   Reporter:  ncohen        |       Owner:  rlm         
       Type:  enhancement   |      Status:  needs_review
   Priority:  major         |   Milestone:  sage-4.3.1  
  Component:  graph theory  |    Keywords:              
Work_issues:                |      Author:              
   Upstream:  N/A           |    Reviewer:              
     Merged:                |  
----------------------------+-----------------------------------------------
Changes (by ncohen):

  * status:  needs_work => needs_review


Old description:

> Adds the functions :
>     * DiGraph.feedback_arc_set
>     * DiGraph.feedback_vertex_set
>
> You will find a full description of the problem in the docstrings, or
> there :
>     * http://en.wikipedia.org/wiki/Feedback_vertex_set
>     * http://en.wikipedia.org/wiki/Feedback_arc_set
>
> The functions use Linear Programming, which needs one of the two optional
> packages GLPK
> {{{
> sage: install_package('cbc')
> }}}
> or CBC
> {{{
> sage: install_package('glpk')
> }}}
> installed. You will find a helpful documentation about the construction
> of the Linear Program in the docstring.
>
> One of the docstrings uses the function min_vertex_cover from #6680.
>
> Nathann

New description:

 Adds the functions :
     * DiGraph.feedback_arc_set
     * DiGraph.feedback_vertex_set

 You will find a full description of the problem in the docstrings, or
 there :
     * http://en.wikipedia.org/wiki/Feedback_vertex_set
     * http://en.wikipedia.org/wiki/Feedback_arc_set

 The functions use Linear Programming, which needs one of the two optional
 packages GLPK
 {{{
 sage: install_package('cbc')
 }}}
 or CBC
 {{{
 sage: install_package('glpk')
 }}}
 installed. You will find a helpful documentation about the construction of
 the Linear Program in the docstring.

 One of the docstrings uses the function vertex_cover from #7600.

 Nathann

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6962#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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