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MPI-INF/SWS Research Reports 1991-2021

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MPI-I-91-113

Tail estimates for the space complexity of randomized incremantal algorithms

Mehlhorn, Kurt and Sharir, Micha and Welzl, Emo

August 1991, 8 pages.

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Status: available - back from printing

We give tail estimates for the space complexity of randomized incremental algorithms for line segment intersection in the plane. For $n$ the number of segments, $m$ is the number of intersections, and $m\geq n \ln n \ln(3) n$, there is a constant $c$ such that the probability that the total space cost exceeds $c$ times the expected space cost is $e^{-\Omega(m/(n\ln n)}$.

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URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1991-113

Hide details for BibTeXBibTeX
@TECHREPORT{MehlhornSharirWelzl91,
  AUTHOR = {Mehlhorn, Kurt and Sharir, Micha and Welzl, Emo},
  TITLE = {Tail estimates for the space complexity of randomized incremantal algorithms},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-91-113},
  MONTH = {August},
  YEAR = {1991},
  ISSN = {0946-011X},
}