I guess they are projective lines with q+1 points arising
from designs.ProjectiveGeometryDesign. However, the blocks (the
2-subspaces) should be in one-to-one correspondence with the vertices.
On Tue, Mar 25, 2025 at 6:04 PM Jackson Walters <jacksonwalt...@gmail.com>
wrote:
> Thanks, that's helpful.
>
> G = graphs.GrassmannGraph(5, 4, 2); G
>
> gives 806 vertices, as expected, but why do the vertices seem to have six
> points?
>
> G.vertices()[0]
> {(0, 0, 0, 1), (1, 0, 0, 1), (1, 0, 0, 2), (1, 0, 0, 4), (1, 0, 0, 0), (1,
> 0, 0, 3)}
>
> I don't see anything about this in the documentation. Shouldn't it be just
> two basis vectors that span the subspace?
>
> Thanks,
> Jackson
>
> On Tue, Mar 25, 2025 at 5:33 PM Dima Pasechnik <dimp...@gmail.com> wrote:
>
>> We have functionality to build Grassmann graphs. See GrassmannGraph in
>>
>> <
>> https://doc.sagemath.org/html/en/reference/graphs/sage/graphs/graph_generators.html#sage.graphs.graph_generators.graphgenerators.paleygraph
>> >
>>
>>
>> On 25 March 2025 12:46:56 GMT-05:00, Jackson Walters <
>> jacksonwalt...@gmail.com> wrote:
>>
>>> Does Sage support computing Gr_{F_q}(k,r), the space of k-hyperplanes
>>> through the origin in GF(q**r)? I looked around for things like Schubert
>>> cells and didn't see anything immediately relevant. I've started to write
>>> some stuff for k=2. I may do a PR if it's not already available.
>>>
>>> Thanks,
>>> Jackson
>>>
>>> --
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