#19545: Mathon's pseudocylic strongly regular graphs.
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       Reporter:         |        Owner:
  dimpase                |       Status:  new
           Type:         |    Milestone:  sage-6.10
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:  graph  |    Reviewers:
  theory                 |  Work issues:
       Keywords:         |       Commit:
        Authors:  Dima   |  4c7cb931a9b80cde29d55e31a1fb219f20a4899b
  Pasechnik              |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/dimpase/matpc        |
   Dependencies:         |
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Comment (by dimpase):

 Replying to [comment:9 ncohen]:
 > Hello Dima,
 >
 > I don't think that we need some specific function that would manage both
 paley graphs and these ones, but that's probably up to you given that I
 have not read the code yet. I usually prefer to keep things as simple as
 possible, so one `is_` function by constructor is fine with me.
 >
 > About your `is_` function, I do not understand why you would need
 something different from the usual output: it *does* tell you with
 certainty that there is a way to build the function.

 The situation with (4z+1,2z,z-1,z)-graphs is akin to these ones that come
 from Hadamard matrices only in this case we have conference matrices, of
 size 2 (mod 4), which is the number `v` of
 graph vertices +1.

 With Hadamard graphs, we have these RHCD (sp?) recursive constructions of
 yours; for conference
 matrices, we have yet to code such a recursive construction).
 Apart from Paley and the construction of this ticket, there are
 potentially more (e.g. some OAs
 can give such graphs, when `v` is a square).

 Where do we put such a construction?

--
Ticket URL: <http://trac.sagemath.org/ticket/19545#comment:10>
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