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Counting Arcs in
Krishnendu Bhowmick1, Oliver Roche-Newton2
1Johann Radon Institute for Computational and Applied Mathematics, Linz, Austria.
Abstract:
An arc in is a set such that no three points of P are collinear. We use the method of hypergraph containers to prove several counting results for arcs. Let denote the family of all arcs in . Our main result is the bound
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