Hi all,
Yesterday I suggested a generalization for degree-d testing using
(d+1)-uniform hypergraphs. I realized there is a more natural
generalization. For the line-test, we only need to pick two points to
determine the line as well as all d-1 other points on the line we need, so
we can still model the process still standard graphs. For the plane-test,
we need to pick three points to determine the plane and the points in the
plane we need, so we can model the process using 3-uniform hypergraphs.
Best,
-- Dieter
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