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» Approximation Algorithms for Spreading Points
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COMPGEOM
2009
ACM
14 years 10 days ago
Kinetic spanners in Rd
We present a new (1 + ε)-spanner for sets of n points in Rd . Our spanner has size O(n/εd−1 ) and maximum degree O(logd n). The main advantage of our spanner is that it can be...
Mohammad Ali Abam, Mark de Berg
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
13 years 12 months ago
Approximation Schemes for Euclidean k-Medians and Related Problems
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...
Sanjeev Arora, Prabhakar Raghavan, Satish Rao
JAT
2010
71views more  JAT 2010»
13 years 6 months ago
Functions with prescribed best linear approximations
A common problem in applied mathematics is that of finding a function in a Hilbert space with prescribed best approximations from a finite number of closed vector subspaces. In ...
Patrick L. Combettes, Noli N. Reyes
DCG
2008
86views more  DCG 2008»
13 years 7 months ago
Efficient Algorithms for Maximum Regression Depth
We investigate algorithmic questions that arise in the statistical problem of computing lines or hyperplanes of maximum regression depth among a set of n points. We work primarily...
Marc J. van Kreveld, Joseph S. B. Mitchell, Peter ...
COMPGEOM
2000
ACM
14 years 16 hour ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia