#12716: Linear orderings of graphs
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   Reporter:  dcoudert       |             Owner:  jason, ncohen, rlm           
                   
       Type:  enhancement    |            Status:  new                          
                   
   Priority:  major          |         Milestone:  sage-5.0                     
                   
  Component:  graph theory   |          Keywords:  graph, decomposition, linear 
ordering, pathwidth
Work issues:                 |   Report Upstream:  N/A                          
                   
  Reviewers:  Nathann Cohen  |           Authors:  David Coudert                
                   
  Merged in:                 |      Dependencies:                               
                   
   Stopgaps:                 |  
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 This patch gathers (di)graph decompositions functions (path
 decompositions, vertex separation, etc.) when the decomposition is
 represented as linear ordering of the vertices. It also provides some
 measurement functions of linear orderings according to particular widths.

 I propose to gather these functions inside an object of class
 `LinearOrdering` to ease access and prevent increasing the number of
 methods of (Di)Graphs objects.
 I'm ready to discuss / modify this patch.

 I will later add other measurement functions (tree
 decomposition/treewidth, cutwidth,....) and some methods for computing
 optimal orderings according these width.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12716>
Sage <http://www.sagemath.org>
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