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  Semi-dynamic maintenance of the width of a planar point set

Schwarz, C.(1992). Semi-dynamic maintenance of the width of a planar point set (MPI-I-92-153). Saarbrücken: Max-Planck-Institut für Informatik.

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MPI-I-92-153.pdf (Any fulltext), 13MB
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 Creators:
Schwarz, Christian1, Author           
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We give an algorithm that maintains an approximation of the width of a set of $n$ points in the plane in $O(\alpha\log n)$ amortized time, if only insertions or only deletions are performed. The data structure allows for reporting the approximation in $O(\alpha\log n\log\log n)$ time. $\alpha$ is a parameter that expresses the quality of the approximation. Our data structure is based on a method of Janardan that maintains an approximation of the width under insertions and deletions using $O(\alpha\log^2 n)$ time for the width query and the updates.

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Language(s): eng - English
 Dates: 1992
 Publication Status: Issued
 Pages: 14 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-92-153
BibTex Citekey: Schwarz92
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Title: Research Report / Max-Planck-Institut für Informatik
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