# 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 |
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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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Automatically produced on Sat Jun 19 17:22:06 CEST 2004 by gustedt