11 citations · 33 across the 21 of their papers we have counts for
4 papers · 1 filter
Blocking Delaunay Triangulations from the Exterior
Oswin Aichholzer, Thomas Hackl, Maarten Löffler +4
Given two distinct point sets and in the plane, we say that \emph{blocks} if no two points of are adjacent in any Delaunay triangulation of . Aichholze…
Arrangements of Pseudocircles: On Digons and Triangles
Stefan Felsner, Sandro Roch, Manfred Scheucher
In this article, we study the cell-structure of simple arrangements of pairwise intersecting pseudocircles. The focus will be on two problems of Grünbaum (1972). First, we discuss…
Coloring circle arrangements: New -chromatic planar graphs
Man-Kwun Chiu, Stefan Felsner, Manfred Scheucher +3
Felsner, Hurtado, Noy and Streinu (2000) conjectured that arrangement graphs of simple great-circle arrangements have chromatic number at most . Motivated by this conjecture, we…
Erdős--Szekeres-type problems in the real projective plane
Martin Balko, Manfred Scheucher, Pavel Valtr
We consider point sets in the real projective plane and explore variants of classical extremal problems about planar point sets in this setting, with a main focus o…