#12243: Girth of a graph fails for non-integer vertices
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   Reporter:  rbeezer        |          Owner:  jason, ncohen, rlm
       Type:  defect         |         Status:  positive_review   
   Priority:  minor          |      Milestone:  sage-4.8          
  Component:  graph theory   |       Keywords:                    
Work_issues:                 |       Upstream:  N/A               
   Reviewer:  Nathann Cohen  |         Author:  Rob Beezer        
     Merged:                 |   Dependencies:                    
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Comment(by dimpase):

 Replying to [comment:8 rbeezer]:
 > Replying to [comment:4 ncohen]:
 > > Do you use the girth function much ? I'm randomly finding out that
 people around use Graph functions I wouldn't expect them to, and it's a
 pity otherwise I would know which kind of things should be reimplemented
 more efficiently first !
 >
 > I am teaching a course on algebraic graph theory here at AIMS in South
 Africa.  So one of the topics is Moore graphs and cages, where girth is
 one of the characterizing properties.  I'd like the students to be able to
 determine girth (by-hand) for things like the Odd Graph.  Thus, having
 Sage to help with this is very useful.

 one can rely on GAP's package GRAPE for this (ideally, it should even be
 possible to write a backend based on it).
 I showed a bit of this on #9136, constructing the Schlaefli graph.

 Dima


 >
 > You are right - I tend to take these highly symmetric graphs as-built
 and explore their properties, not so much manipulating them.  Especially
 when teaching.  So having them "read-only" would meet many of my purposes.
 And Dima's idea to carry more group-theoretic information is a good one,
 though it seems a big job to figure out how to do that "right" and then
 exploit it consistently.

 One idea might be a GRAPE-based graph backend.

 >
 > Rob
 >

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12243#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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