Abstract

We consider the problem of sorting n integers when the elements are drawn from the restricted domain [1…n]. A new deterministic parallel algorithm for sorting n integers is obtained. Its running time is O(lognlog(n/logn)) using n/logn processors on EREW (exclusive read exclusive write) PRAM (parallel random access machine). Also, our algorithm was modified to become optimal when we use \sqrt{n} processors. This algorithm belongs to class EP (Efficient, Polynomial fast).

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