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CORR
2010
Springer
249views Education» more  CORR 2010»
13 years 5 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»
13 years 6 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»
13 years 6 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
13 years 6 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»
13 years 5 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