#7600: Vertex cover
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   Reporter:  ncohen        |       Owner:  rlm         
       Type:  enhancement   |      Status:  needs_review
   Priority:  major         |   Milestone:  sage-4.3    
  Component:  graph theory  |    Keywords:              
Work_issues:                |      Author:              
   Upstream:  N/A           |    Reviewer:              
     Merged:                |  
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Comment(by kevin.stueve):

 I've never reviewed a patch before.

 We were just talking about vertex cover in my algorithms class the other
 day.

 The three problems:[[BR]]

 1) Does G have a clique of size m or more?[[BR]]

 2) Is there a vertex cover of size m or less for G?[[BR]]

 3) Does G contain an independent set of size m or more?[[BR]]


 are all polynomially reducible to each other.

 exercise 9, p 403, The Design and Analysis of Algorithms, 2nd Edition

 I'm not aware if those other problems are implemented in Sage.  If not,
 maybe a ticket should be created.

 3048              As vertex cover is a `NP`-complete problem

 IMO, would be better with the word "an" in place of "a".

 Kevin Stueve

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7600#comment:3>
Sage <http://www.sagemath.org>
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