Given A := {a1, . . . , am} Rn and > 0, we propose and analyze two algorithms for the problem of computing a (1 + )-approximation to the radius of the minimum enclosing ball o...
Given A := {a1, . . . , am} Rn, we consider the problem of reducing the input set for the computation of the minimum enclosing ball of A. In this note, given an approximate soluti...
We develop algorithms for computing the smallest enclosing ball of a set of n balls in d-dimensional space. Unlike previous methods, we explicitly address small cases (n ≤ d + 1...
We develop (single-pass) streaming algorithms for maintaining extent measures of a stream S of n points in Rd . We focus on designing streaming algorithms whose working space is p...
We prove the existence of small core-sets for solving approximate k-center clustering and related problems. The size of these core-sets is considerably smaller than the previously...