A fully dynamic algorithm for planar

  • Authors:
  • Timothy M. Chan

  • Affiliations:
  • Department of Computer Science, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

  • Venue:
  • SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
  • Year:
  • 2001

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Abstract

We show how to maintain the width of a set of $n$ planar points subjec t to insertions and deletions of points in $O(\sqrt{n}\log^3n)$ amortized time per update. Previously, no fully dynamic algorithm with a guaranteed sublinear time bound was known.