#14502: Improvements of hyperbolicity procedures
---------------------------------+------------------------------------------
       Reporter:  dcoudert       |         Owner:  jason, ncohen, rlm
           Type:  enhancement    |        Status:  needs_work        
       Priority:  major          |     Milestone:  sage-5.10         
      Component:  graph theory   |    Resolution:                    
       Keywords:                 |   Work issues:                    
Report Upstream:  N/A            |     Reviewers:                    
        Authors:  David Coudert  |     Merged in:                    
   Dependencies:                 |      Stopgaps:                    
---------------------------------+------------------------------------------
Changes (by ncohen):

  * status:  needs_review => needs_work


Comment:

 Replying to [comment:14 dcoudert]:
 > Your arguments a quite unfair since it was clearly indicated that
 approximation_factor and additive_gap where only used by the 'cuts' algo
 and that 'cuts+' was an approx with additive constant one. So the "user"
 was aware.

 Yep. But the code did something different.

 > I have now implemented a set of modifications to use the additive_gap
 with 'cuts+' and updated documentation accordingly.

 Cool. Could you also add a doctest for `algorithm="dom"` ? It looks like
 there's a bug there :
 {{{
 sage: g = graphs.PetersenGraph()       rsenGraph()
 sage: hyperbolicity(g,algorithm="dom")
 (0, [], 0)
 }}}

 I would say that the dominating set has `<4` vertices. Note that it isn't
 a problem per se, but the upper bound is clearly wrong.

 Nathann

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14502#comment:15>
Sage <http://www.sagemath.org>
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