The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
We show that the length of the minimum weight Steiner triangulation (MWST) of a point set can be approximated within a constant factor by a triangulation algorithm based on quadtr...
Let G = (S, E) be a plane straight-line graph on a finite point set S ⊂ R2 in general position. The incident angles of a point p ∈ S in G are the angles between any two edges ...
Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, ...
We introduce series-triangular graph embeddings and show how to partition point sets with them. This result is then used to prove an upper bound on the number of Steiner points nee...
This short note considers the problem of point location in a Delaunay triangulation of n random points, using no additional preprocessing or storage other than a standard data stru...