Optimal parallel multiselection on EREW PRAM

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Shen, Hong
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1997
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Abstract

Multiselection requires to select r elements at specified ranks in a given set of n elements, r ≤ n. This paper proposes a paradigm for parallel multiselection to achieve the optimal cost. Following this paradigm and employing a cost-optimal algorithm for single-element selection, a cost-optimal parallel algorithm for multiselection is presented. Our algorithm runs in O(nϵ log r) time on an EREW PRAM with n1−ϵ processors for any 0 < ϵ < 1. In the special case when ϵ =log(lognlogn)logn, our algorithm requires O(lognlognlogr) time and O(n log r) cost.

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Parallel Computing

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23

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13

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Distributed Computing

Cognitive Sciences

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