Optimal core-sets for balls

  title={Optimal core-sets for balls},
  author={Mihai Badoiu and K. Clarkson},
  journal={Comput. Geom.},
  • Mihai Badoiu, K. Clarkson
  • Published 2008
  • Computer Science, Mathematics
  • Comput. Geom.
  • Given a set of points [email protected]?R^d and value @e>0, an @[email protected]?P has the property that the smallest ball containing S has radius within [email protected] of the radius of the smallest ball containing P. This paper shows that any point set has an @e-core-set of size @?1/@[email protected]?, and this bound is tight in the worst case. Some experimental results are also given, comparing this algorithm with a previous one, and with a more powerful, but slower one. 
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