#14297: is_strongly_regular does not handle complete graphs
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       Reporter:  azi                |         Owner:  jason, ncohen, rlm
           Type:  enhancement        |        Status:  needs_review      
       Priority:  minor              |     Milestone:  sage-5.10         
      Component:  graph theory       |    Resolution:                    
       Keywords:                     |   Work issues:                    
Report Upstream:  N/A                |     Reviewers:                    
        Authors:  Frédéric Chapoton  |     Merged in:                    
   Dependencies:                     |      Stopgaps:                    
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Comment (by azi):

 Eeeehm just checked in the book
 (http://www.win.tue.nl/~aeb/2WF02/spectra.pdf page 123 lol) by Brower and
 Haemers they exclude the complete graph and its complement as well.

 I like gambling so we can toss a coin though I prefer to exclude complete
 graphs.

 Also while we are at it:

 {{{
 2293         degree = self.degree()
 2294         k = degree[0]
 2295         if not all(d == k for d in degree):
 2296             return False
 2297
 2298         if self.is_clique():
 }}}

 is it perhaps better to call self.is_regular()? I would like that since it
 somehow leaves any optimizations that is_regular *could* do and has the
 added benefit that this method does not break for the EmptyGraph (corner
 cases lol)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14297#comment:7>
Sage <http://www.sagemath.org>
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