Approximation Algorithms for the Metric k-Median Problem

Abstract—A short overview,of recent,results in clustering related algorithms. Exact algorithms,and,approximations,for k- median of various quality are discussed, as are variations of this problem,for different input and space/time requirements. Natural alternative formulations,of k-median are covered,as are related problems. Also discussed,is the application,of such solutions to various,information-centric uses. This paper,concludes,with,a discussion about clustering metrics as a whole. Index Terms—clustering, survey paper, k-median, streaming algorithm, sampling algorithm, approximation algorithm, linear programming, data mining, operations research