Approximation algorithms for k-line center
Published
Conference Paper
© Springer-Verlag Berlin Heidelberg 2002. Given a set P of n points in Rd and an integer k ≥ 1, let w* denote the minimum value so that P can be covered by k cylinders of radius at most (1 + ε )w*. We describe an algorithm that, given P and an ε> 0, computes k cylinders of radius at most (1 + ε)w* that cover P. The running time of the algorithm is O(n log n), with the constant of proportionality depending on k, d, and e. We first show that there exists a small "certificate" Q #x2286; P, whose size does not depend on n, such that for any k-cylinders that cover Q, an expansion of these cylinders by afactorof(1 + ε)covers P. We then use a well-known scheme based on sampling and iterated re-weighting for computing the cylinders.
Duke Authors
Cited Authors
- Agarwal, PK; Procopiuc, CM; Varadarajan, KR
Published Date
- January 1, 2002
Published In
Volume / Issue
- 2461 /
Start / End Page
- 54 - 63
Electronic International Standard Serial Number (EISSN)
- 1611-3349
International Standard Serial Number (ISSN)
- 0302-9743
International Standard Book Number 10 (ISBN-10)
- 3540441808
International Standard Book Number 13 (ISBN-13)
- 9783540441809
Citation Source
- Scopus