For a finite set of points S, the (monochromatic) Reverse Nearest Neighbor (RNN) rule associates with any query point q the subset of points in S that have q as its nearest neighb...
In this paper we consider a natural extension of the socalled reverse facility location problem which was introduced by Cabello et al. [3]. Given a set of n users and a set of m f...
Abstract. We give logarithmic approximation algorithms for the nonmetric uncapacitated multicommodity and multilevel facility location problems. The former algorithms are optimal u...
In combinatorial optimization, a popular approach to NP-hard problems is the design of approximation algorithms. These algorithms typically run in polynomial time and are guarante...
We introduce a problem that is a common generalization of the uncapacitated facility location (UFL) and minimum latency (ML) problems, where facilities not only need to be opened ...