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ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
14 years 9 months ago
On Metric Clustering to Minimize the Sum of Radii
Abstract Given an n-point metric (P,d) and an integer k > 0, we consider the problem of covering P by k balls so as to minimize the sum of the radii of the balls. We present a r...
Matt Gibson, Gaurav Kanade, Erik Krohn, Imran A. P...
83
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COMPGEOM
2005
ACM
14 years 10 months ago
Fast construction of nets in low dimensional metrics, and their applications
We present a near linear time algorithm for constructing hierarchical nets in finite metric spaces with constant doubling dimension. This data-structure is then applied to obtain...
Sariel Har-Peled, Manor Mendel
STACS
2010
Springer
15 years 3 months ago
Relaxed Spanners for Directed Disk Graphs
Let (V, δ) be a finite metric space, where V is a set of n points and δ is a distance function defined for these points. Assume that (V, δ) has a constant doubling dimension d...
David Peleg, Liam Roditty