G. Leibon and D. Letscher showed that for general and sufficiently dense point set its Delaunay triangulation and Voronoi diagram in Riemannian manifold exist. They also proposed ...
We pose a monotonicity conjecture on the number of pseudo-triangulations of any planar point set, and check it on two prominent families of point sets, namely the so-called double...
Oswin Aichholzer, David Orden, Francisco Santos, B...
We present a novel k-dimensional range search algorithm for reporting all k-d rectangles from a set D of size n intersecting a query rectangle. Our algorithm uses 2kd tries to sol...
We consider the problem of finding the shortest curve in the plane that has unit width. This problem was first posed as the “river shore” puzzle by Ogilvy (1972) and is rela...
Timothy M. Chan, Alexander Golynski, Alejandro L&o...
We show several natural questions about hinged dissections of polygons to be PSPACE-hard. The most basic of these is: Given a hinged set of pieces and two configurations for them...
Robert A. Hearn, Erik D. Demaine, Greg N. Frederic...