Geometric applications of a randomized optimization technique

Research output: Contribution to conferencePaperpeer-review

Abstract

We describe general randomized reductions of certain geometric optimization problems to their corresponding decision problems. These reductions increase the expected time complexity by only a constant factor and eliminate extra logarithmic factors in previous approaches. Improved algorithms are thus obtained for a variety of problems in computational geometry: finding minimal k-point subsets, matching point sets under translation, and solving problems related to p-centers and linear programming with violations.

Original languageEnglish (US)
Pages269-278
Number of pages10
DOIs
StatePublished - 1998
Externally publishedYes
EventProceedings of the 1998 14th Annual Symposium on Computational Geometry - Minneapolis, MN, USA
Duration: Jun 7 1998Jun 10 1998

Other

OtherProceedings of the 1998 14th Annual Symposium on Computational Geometry
CityMinneapolis, MN, USA
Period6/7/986/10/98

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Computational Mathematics

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