A minimal planar point set containing a disjoint pair of a convex 4-gon and a convex 6-gon
The paper introduces a new variant of the Erdős-Szekeres theorem: what is the smallest number (denoted by \(N(k,\ell)\)) such that for any \(N(k,\ell)\) points in the plane with no 3 of them collinear, is guaranteed to have a disjoint pair of convex \(k\)-gon and convex \(\ell\)-gon? The paper shows that \(17\leq N(4,6)\leq 21\).
scientific article; zbMATH DE number 6362477