#16370: OA(k,n) strongly regular graphs
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       Reporter:         |        Owner:
  ncohen                 |       Status:  needs_review
           Type:         |    Milestone:  sage-6.3
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:  graph  |    Reviewers:
  theory                 |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  e469bb5b23d7862b48082f1cba9fd946dd7dc406
  Nathann Cohen          |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/ncohen/16370         |
   Dependencies:         |
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Comment (by ncohen):

 > An OA does not determine uniquely a graph. As Kanappan said there are at
 least three natural ones and there are many more non-trivial
 constructions. So calling it `graphs.OrthogonalArrayGraph` completely
 misleading.

 WTF MAN ! THIS IS THE TERMINOLOGY USED ON ALL PAGES OF BROUWER'S WEBSITE !
 I am not the one who made this terminology, go tell him !

 > About the syntax, let me cite Andries Brouwer:

 Be honest and also copy/paste the answer I gave him.

 >     If you have a set with a collection of subsets, that is called a
 hypergraph, and the subsets are called hyperedges. Given a hypergraph, one
 can make the intersection graph. The vertices of the hypergraph are the
 hyperedges. Two distinct vertices are adjacent when their intersection is
 nonempty. This is a construction that occurs in many different places. A
 design is a hypergraph with certain regularity properties. But this
 intersection graph is needed for many types of design.

 I know what an intersection graph is and I said ONE THOUSAND FUCKING TIMES
 that we need a contructor for that. That's totally unrelated.

 >     It makes no sense to design a system where intersection graph gets
 different names depending on the type of design one used as input.

 Copy/paste my answer to that. Or create a ticket to remove the words from
 `words.*` which can be obtained through `words.FixedPointOfMorphism`.

 THIS DOES NOT MAKE ANY F******* SENSE !

 > So the name could be either
 `graphs.IntersectionGraphOfOneOrthogonalArray` or simply a subcase of
 `graphs.IntersectionGraph`. And I am in favour of the second one.

 I don't give a fuck. Either you think a bit or we close this ticket as
 wontfix, I am tired of discussing trivialities forever. I have work to do.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16370#comment:32>
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