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Approximation schemes for Euclidean kmedians and related Sanjeev Arora #

Summary: Approximation schemes for Euclidean k­medians and related
Sanjeev Arora #
Princeton University
Prabhakar Raghavan +
IBM Research
Satish Rao #
NEC Research
In the k­median problem we are given a set S of
n points in a metric space and a positive integer
k. We desire to locate k medians in space, such
that the sum of the distances from each of the
points of S to the nearest median is minimized.
This paper gives an approximation scheme for
the plane that for any c > 0 produces a solu­
tion of cost at most 1 + 1/c times the optimum
and runs in time O(n O(c+1) ). The approxima­
tion scheme also generalizes to some problems
related to k­median.


Source: Arora, Sanjeev - Department of Computer Science, Princeton University


Collections: Computer Technologies and Information Sciences