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cs.DM2019
On the edge-vertex ratio of maximal thrackles
Oswin Aichholzer, Linda Kleist, Boris Klemz +2
A drawing of a graph in the plane is a thrackle if every pair of edges intersects exactly once, either at a common vertex or at a proper crossing. Conway's conjecture states that a…
cs.DM2014★ 3 cited
On -Gons and -Holes in Point Sets
Oswin Aichholzer, Ruy Fabila-Monroy, Hernán González-Aguilar +6
We consider a variation of the classical Erdős-Szekeres problems on the existence and number of convex -gons and -holes (empty -gons) in a set of points in the plane.…