We show that for any convex object Q in the plane, the average distance between the Fermat-Weber center of Q and the points in Q is at least 4(Q)/25, and at most 2(Q)/(3 3), wher...
Classical clustering algorithms are based on the concept that a cluster center is a single point. Clusters which are not compact around a single point are not candidates for class...
We analyze an extremely simple approximation algorithm for computing the minimum enclosing ball (or the 1-center) of a set of points in high dimensions. We prove that this algorit...
Future digital entertainment services available to home users will share several characteristics: i) they will be deployed and delivered through the Internet, ii) a single media c...
Claudio E. Palazzi, Giovanni Pau, Marco Roccetti, ...
Given a set of n points P = {p1, p2, . . . , pn} in the plane, we show how to preprocess P such that for any query line segment L we can report in O(log n) time the smallest enclo...