The min-sum k-clustering problem is to partition a metric space (P, d) into k clusters C1, . . . , Ck ⊆ P such that k i=1 p,q∈Ci d(p, q) is minimized. We show the first effi...
In this paper, we propose two approaches for combining geometric information with ICA algorithm to solve permutation problem under the scenario where a rough information about the...
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
We obtain hardness results and approximation algorithms for two related geometric problems involving movement. The first is a constrained variant of the k-center problem, arising ...
We present a new incremental algorithm for constructing the union of n triangles in the plane. In our experiments, the new algorithm, which we call the Disjoint-Cover (DC) algorit...