Discrete Mathematics & Theoretical Computer Science, Vol 6, No 1 (2003)

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DMTCS vol 6 no 1 (2003), pp. 107-122

Discrete Mathematics & Theoretical Computer Science


Volume 6 n° 1 (2003), pp. 107-122

author:Wei-Mei Chen and Hsien-Kuei Hwang and Tsung-Hsi Tsai
title:Efficient maxima-finding algorithms for random planar samples
keywords:maxima, average-case analysis, sequential algorithms, sieve algorithms
abstract:We collect major known algorithms in the literature for finding the maxima of multi-dimensional points and provide a simple classification. Several new algorithms are proposed. In particular, we give a new maxima-finding algorithm with expected complexity n+O(√n&log; n) when the input is a sequence of points uniformly chosen at random from general planar regions. We also give a sequential algorithm, very efficient for practical purposes.

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reference: Wei-Mei Chen and Hsien-Kuei Hwang and Tsung-Hsi Tsai (2003), Efficient maxima-finding algorithms for random planar samples, Discrete Mathematics and Theoretical Computer Science 6, pp. 107-122
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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