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CORR
2010
Springer
249views Education» more  CORR 2010»
14 years 9 months ago
Lower Bounds on Near Neighbor Search via Metric Expansion
In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we loo...
Rina Panigrahy, Kunal Talwar, Udi Wieder
SODA
2008
ACM
200views Algorithms» more  SODA 2008»
14 years 11 months ago
Clustering for metric and non-metric distance measures
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure D. Given a finite set P, our goal is to find a set C of size k such that the s...
Marcel R. Ackermann, Johannes Blömer, Christi...
SODA
2001
ACM
87views Algorithms» more  SODA 2001»
14 years 11 months ago
Steiner points in tree metrics don't (really) help
Consider an edge-weighted tree T = (V, E, w : E R+ ), in which a subset R of the nodes (called the required nodes) are colored red and the remaining nodes in S = V \R are colored ...
Anupam Gupta
SIROCCO
2004
14 years 11 months ago
The Range Assignment Problem in Static Ad-Hoc Networks on Metric Spaces
In this paper we study the range assignment problem in static ad-hoc networks on metric spaces. We consider the h-strong connectivity and h-broadcast problems on trees, high dimens...
Deshi Ye, Hu Zhang
CORR
2010
Springer
122views Education» more  CORR 2010»
14 years 9 months ago
Facility Location with Client Latencies: Linear-Programming based Techniques for Minimum-Latency Problems
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 ...
Deeparnab Chakrabarty, Chaitanya Swamy