11 citations · 33 across the 21 of their papers we have counts for
4 papers · 1 filter
Arrangements of Pseudocircles: On Circularizability
Stefan Felsner, Manfred Scheucher
An arrangement of pseudocircles is a collection of simple closed curves on the sphere or in the plane such that any two of the curves are either disjoint or intersect in exactly tw…
Arrangements of Pseudocircles: Triangles and Drawings
Stefan Felsner, Manfred Scheucher
A pseudocircle is a simple closed curve on the sphere or in the plane. The study of arrangements of pseudocircles was initiated by Grünbaum, who defined them as collections of simp…
Almost-equidistant sets
Martin Balko, Attila Pór, Manfred Scheucher +2
For a positive integer , a set of points in -dimensional Euclidean space is called almost-equidistant if for any three points from the set, some two are at unit distance. Let…
A superlinear lower bound on the number of 5-holes
Oswin Aichholzer, Martin Balko, Thomas Hackl +5
Let be a finite set of points in the plane in general position, that is, no three points of are on a common line. We say that a set of five points from is a -hol…