#14502: Improvements of hyperbolicity procedures
---------------------------------+------------------------------------------
       Reporter:  dcoudert       |         Owner:  jason, ncohen, rlm
           Type:  enhancement    |        Status:  needs_review      
       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:                    
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Comment (by ncohen):

 > Does it make more sense?

 No, I still don't get it. When you remove simplicial vertices and compute
 the hyperbolicity on what is left you make an error of at most 1. Now, if
 you do not compute the hyperbolicity of what is left but if you just want
 an approximation of the hyperbolicity on what is left then you will
 compute this approximate hyperbolicity FASTER (because you do not have to
 go through all pairs), and you will get a lower bound `hyp` and an upper
 bound `ub`. Hence, because you first removed simplicial vertices, what you
 can say for sure is that the hyperbolicity of your graph is between `hyp`
 andd `ub+1`.

 With what you do, it looks like you force the computation of the exact
 hyperbolicity on the reduced graph, which can take a lot of time. And
 isn't what the user wanted.

 Nathann

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14502#comment:9>
Sage <http://www.sagemath.org>
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