#12243: Girth of a graph fails for non-integer vertices
----------------------------+-----------------------------------------------
   Reporter:  rbeezer       |          Owner:  jason, ncohen, rlm
       Type:  defect        |         Status:  new               
   Priority:  minor         |      Milestone:  sage-4.8          
  Component:  graph theory  |       Keywords:                    
Work_issues:                |       Upstream:  N/A               
   Reviewer:                |         Author:                    
     Merged:                |   Dependencies:                    
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 The Odd graph, {{{O_3}}}, is the Petersen Graph, which has girth 5.

 {{{
 sage: P = graphs.PetersenGraph()
 sage: P.girth()
 5
 sage: K = graphs.OddGraph(3)
 sage: K.is_isomorphic(P)
 True
 sage: K.girth()
 +Infinity
 }}}

 But the result implies there are no cycles in K.

 See sage-devel thread

 http://groups.google.com/group/sage-
 devel/browse_thread/thread/8dc807a3710e3dee

 for more discussion.

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

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