We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Ray (segment) shooting is the problem of determining the first intersection between a ray (directed line segment) and a collection of polygonal or polyhedral obstacles. In order t...
Joseph S. B. Mitchell, David M. Mount, Subhash Sur...
Let P be a set of n points in R3 . The 2-center problem for P is to find two congruent balls of the minimum radius whose union covers P. We present two randomized algorithms for ...
Pankaj K. Agarwal, Rinat Ben Avraham, Micha Sharir
We study ways to expedite Yates's algorithm for computing the zeta and Moebius transforms of a function defined on the subset lattice. We develop a trimmed variant of Moebius ...
We present new asymptotically tight bounds on cuttings, a fundamental data structure in computational geometry. For n objects in space and a parameter r ∈ N, an 1 r -cutting is ...
Eynat Rafalin, Diane L. Souvaine, Csaba D. T&oacut...