118 search results - page 1 / 24 » Approximation Schemes for Euclidean k-Medians and Related Pr... |
STOC
1998
ACM
13 years 8 months ago
1998
ACM
In the k-median 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 fro...
JCSS
2002
13 years 4 months ago
2002
We present the first constant-factor approximation algorithm for the metric k-median problem. The k-median problem is one of the most well-studied clustering problems, i.e., those...
FOCS
2010
IEEE
13 years 2 months ago
2010
IEEE
We consider k-median clustering in finite metric spaces and k-means clustering in Euclidean spaces, in the setting where k is part of the input (not a constant). For the k-means pr...
FOCS
2008
IEEE
13 years 11 months ago
2008
IEEE
We give a randomized O(n polylog n)-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed ǫ > 0 and given n terminals in the plane ...
SODA
2010
ACM
14 years 1 months ago
2010
ACM
In the capacitated vehicle routing problem, introduced by Dantzig and Ramser in 1959, we are given the locations of n customers and a depot, along with a vehicle of capacity k, an...