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Sorting and Selection on a Linear Array with Optical Bus System

In this paper we present randomized algorithms for selection and sorting on linear arrays with optical bus communication systems. We show that sorting n given numbers can be performed in O(log n) time with high probability on a linear array, of n processors, with a reconfigurable optical bus system (Linear-AROB). We also show that selection can be performed in O(1) time with high probability on the same parallel machine model.