Parallel Algorithms for Arrangements 1
نویسنده
چکیده
We give the first efficient parallel algorithms for solving the arrangement problem. We give a deterministic algorithm for the CREW PRAM which runs in nearly optimal bounds of O(log n log∗ n) time and n2/ log n processors. We generalize this to obtain an O(log n log∗ n)-time algorithm using nd / log n processors for solving the problem in d dimensions. We also give a randomized algorithm for the EREW PRAM that constructs an arrangement of n lines on-line, in which each insertion is done in optimal O(log n) time using n/ log n processors. Our algorithms develop new parallel data structures and new methods for traversing an
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تاریخ انتشار 1996