This paper achieves O(n3 log log n/ log n) time for the 2center problems on a directed graph with non-negative edge costs under the conventional RAM model where only arithmetic ope...
For a set P of n points in R2 , the Euclidean 2-center problem computes a pair of congruent disks of the minimal radius that cover P. We extend this to the (2, k)-center problem wh...
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
In this paper we showed that a p( 2)-center location problem in general networks can be transformed to the well known Klee's measure problem [5]. This resulted in an improved...
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...