Efficient maxima-finding algorithms for random planar samples
Discrete mathematics & theoretical computer science, Tome 6 (2003-2004) no. 1.

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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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     author = {Chen, Wei-Mei and Hwang, Hsien-Kuei and Tsai, Tsung-Hsi},
     title = {Efficient maxima-finding algorithms for random planar samples},
     journal = {Discrete mathematics & theoretical computer science},
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Chen, Wei-Mei; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi. Efficient maxima-finding algorithms for random planar samples. Discrete mathematics & theoretical computer science, Tome 6 (2003-2004) no. 1. doi : 10.46298/dmtcs.337. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.337/

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