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An O(n) algorithm to sort n 2 elements on an Illiac IV-like n × n mesh-connected processor array is presented. This algorithm sorts the n 2 elements into row-major order and is an adaptation of Batcher's bitonic sort. A slight modification of our algorithm yields an O(n) algorithm to sort n 2 elements into snake-like row-major order. Extensions to the case of a j-dimensional processor array are discussed.
Nassimi et al. (Mon,) studied this question.