Abstract

The author presents a parallel algorithm of cost O(n log n) to find a maximum independent set of a circular arc graph. In the CREW PRAM model the algorithm takes O(log n) time, while in the EREW PRAM model it requires O(log/sup 2/ n) time. It illustrates the use of divide-and-conquer in parallel algorithms. The heart of the algorithm solves this problem on an interval graph, which is derived from the given circular arc graph. Postprocessing selects a maximum independent set on the given circular arc graph. >

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