#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 ncohen):
Hellooooooooo !!!
> Luckily we don't have as many books saying different things as religions
do :-)
Yeah ? Well, try to publish a paper with you own notations for everything
and see if it goes through. We don't have many religions because only one
religion is allowed to exist `:-P`
> Anyways, I personally like to have it that way because then there are
other theorems for strongly regular graphs that follow naturally. For
example a strongly regular graphs has precisely three distinct eigenvalues
(which does not hold for the empty graph and complete graph)
Oh ? I didn't know that !
> That said I don't care what we do with this as long as its fine with you
guys. Hence I let you and Frederic decide!
Well, if you have a nice theorem like that, after all... So, Frederic ?
> You got a point I overlooked that! BUT we can at least remove the
is_clique part and check if the degree is order()-1 once we know its
regular right??
Ahahahah. And what if is_clique just computes the number of edges, and if
the number of edges is cached ? `:-P`
I don't know if it is, though. But calling `.size()` probably does not
list all edges..... At least I hope !
Nathann
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14297#comment:11>
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