Article,

An optimal algorithm for parallel selection

.
Information Processing Letters, 19 (1): 47 - 50 (1984)
DOI: https://doi.org/10.1016/0020-0190(84)90128-5

Abstract

A parallel algorithm is presented for selecting the kth smallest element of a totally ordered (but not sorted) set of n elements, 1⩽k⩽n. The algorithm uses n1−x processors and runs in O(nx) time, 0<x<1, for an optimal total cost of O(n).

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