8 citations · 10 across the 3 of their papers we have counts for
8 papers
Weighted Epsilon-Nets
Daniel Bertschinger, Patrick Schnider
Motivated by recent work of Bukh and Nivasch on one-sided -approximants, we introduce the notion of \emph{weighted -nets}. It is a geometric notion of app…
Arrangements of Approaching Pseudo-Lines
Stefan Felsner, Alexander Pilz, Patrick Schnider
We consider arrangements of pseudo-lines in the Euclidean plane where each pseudo-line is represented by a bi-infinite connected -monotone curve , $x \in \m…
On the Average Complexity of the -Level
Man-Kwun Chiu, Stefan Felsner, Manfred Scheucher +3
Let be an arrangement of lines in the Euclidean plane. The \emph{-level} of consists of all vertices of the arrangement which have exactly line…
Bisecting three classes of lines
Alexander Pilz, Patrick Schnider
We consider the following problem: Let be an arrangement of lines in colored red, green, and blue. Does there exist a vertical plane such that…
Sharing a pizza: bisecting masses with two cuts
Luis Barba, Alexander Pilz, Patrick Schnider
Assume you have a pizza consisting of four ingredients (e.g., bread, tomatoes, cheese and olives) that you want to share with your friend. You want to do this fairly, meaning that…
Ham-Sandwich cuts and center transversals in subspaces
Patrick Schnider
The Ham-Sandwich theorem is a well-known result in geometry. It states that any mass distributions in can be simultaneously bisected by a hyperplane. The result…