Abstract
We consider the problem of designing optimal parallel algorithms for sorting presorted sequences. To evaluate the existing order in an input sequence, we use the number of the maximal ascending consecutive subsequences, Runs. in the sequence as a measure of presortedness. An adaptive parallel sorting algorithm is presented, which sorts a sequence X of length n inO(log n·log Runs( X)) time by using O( n logn ) processors in the EREW PRAM model of computation. It is the first adaptive parallel sorting algorithm that is cost optimal with respect to Runs.
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