#18439: is_projective_plane for incidence structure
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Reporter: q.honore | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.7
Component: combinatorial | Resolution:
designs | Merged in:
Keywords: | Reviewers: Vincent Delecroix
Authors: Quentin Honoré | Work issues:
Report Upstream: N/A | Commit:
Branch: | 980680371fce74966baa1982a0d0ed24c6cd7a03
u/q.honore/is_projective_plane | Stopgaps:
Dependencies: |
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Comment (by vdelecroix):
Replying to [comment:6 ncohen]:
> > This one is useful but not complete (since it does not check for the
existence of quadrilateral).
>
> Neither does the code on this branch, unless you saw something I missed.
this is automatic if you specify that the number of points and blocks is
`v=k^2+k+1` where each block has cardinality `k+1`. The method is
convenient because it avoids to input the parameters.
Could you precise what you think:
- there is no need for `is_projective_plane`
- `is_projective_plane` should call the existing
`is_group_divisible_design`
- `is_projective_plane` would be better as a function in
`designs_pyx.pyx`
Vincent
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Ticket URL: <http://trac.sagemath.org/ticket/18439#comment:7>
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