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