#16370: OA(k,n) strongly regular graphs
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       Reporter:         |        Owner:
  ncohen                 |       Status:  needs_work
           Type:         |    Milestone:  sage-6.3
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:  graph  |    Reviewers:
  theory                 |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  7b73bc55865f7c7bd454dd047dc38f0ed2ff58be
  Nathann Cohen          |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/ncohen/16370         |
   Dependencies:         |
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Changes (by vdelecroix):

 * status:  needs_review => needs_work


Comment:

 Examples with OA(3,4)
 {{{
 sage: oa0 = [[0, 0, 1], [0, 1, 3], [0, 2, 0], [0, 3, 2],
 ....:        [1, 0, 3], [1, 1, 1], [1, 2, 2], [1, 3, 0],
 ....:        [2, 0, 0], [2, 1, 2], [2, 2, 1], [2, 3, 3],
 ....:        [3, 0, 2], [3, 1, 0], [3, 2, 3], [3, 3, 1]]
 sage: oa1 = [[0, 0, 2], [0, 1, 0], [0, 2, 3], [0, 3, 1],
 ....:        [1, 0, 3], [1, 1, 1], [1, 2, 0], [1, 3, 2],
 ....:        [2, 0, 0], [2, 1, 2], [2, 2, 1], [2, 3, 3],
 ....:        [3, 0, 1], [3, 1, 3], [3, 2, 2], [3, 3, 0]]
 sage: g0 = graphs.OrthogonalArrayBlockGraph(3,4,oa0)
 sage: g1 = graphs.OrthogonalArrayBlockGraph(3,4,oa1)
 sage: g0.is_isomorphic(g1)
 False
 }}}
 And actually they are quite different
 {{{
 sage: g0.automorphism_group().order()
 1152
 sage: g1.automorphism_group().order()
 192
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/16370#comment:42>
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