Randomized selection with quintary partitions

dc.creatorKiwiel, Krzysztof C.
dc.date2003-12-23
dc.date.accessioned2026-07-07T03:20:47Z
dc.date.available2026-07-07T03:20:47Z
dc.descriptionWe show that several versions of Floyd and Rivest's algorithm Select for finding the $k$th smallest of $n$ elements require at most $n+\min\{k,n-k\}+o(n)$ comparisons on average and with high probability. This rectifies the analysis of Floyd and Rivest, and extends it to the case of nondistinct elements. Our computational results confirm that Select may be the best algorithm in practice.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/cs/0312055
dc.identifierhttp://arxiv.org/abs/cs/0312055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/31950
dc.subjectData Structures and Algorithms
dc.subjectF.2.2; G3
dc.titleRandomized selection with quintary partitions
dc.typetext

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