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  Tail estimates for the efficiency of randomized incremental algorithms for line segment intersection

Mehlhorn, K., Sharir, M., & Welzl, E.(1993). Tail estimates for the efficiency of randomized incremental algorithms for line segment intersection (MPI-I-93-103). Saarbrücken: Max-Planck-Institut für Informatik.

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 Creators:
Mehlhorn, Kurt1, Author           
Sharir, Micha1, Author
Welzl, Emo1, Author
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We give tail estimates for the efficiency of some randomized incremental algorithms for line segment intersection in the plane. In particular, we show that there is a constant $C$ such that the probability that the running times of algorithms due to Mulmuley and Clarkson and Shor exceed $C$ times their expected time is bounded by $e^{-\Omega (m/(n\ln n))}$ where $n$ is the number of segments, $m$ is the number of intersections, and $m \geq n \ln n \ln^{(3)}n$.

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Language(s): eng - English
 Dates: 1993
 Publication Status: Issued
 Pages: 12 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: URI: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/93-103
Report Nr.: MPI-I-93-103
BibTex Citekey: MehlhornSharirWelzl
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Title: Research Report / Max-Planck-Institut für Informatik
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