On some global operations in faulty SIMD hypercubes

Extends our prior results [Raghavendra & Sridhar (1992, 1993), Sengupta & Raghavendra (1994)] to obtain algorithms for performing all-to-all broadcast, global sum and broadcast operation in an N-node (N=2/sup n/), n-dimensional faulty SIMD hypercube, Q/sub n/ (n/spl ges/9), with the number of faults n-1<f/spl les/2n-3. We also discuss optimal algorithms for one-to-all personalized broadcasting and all-to-one personalized broadcasting in a Q/sub n/ with the number of faults f/spl les/n-1. Our broadcasting and global sum algorithms require 2n+19 steps and n+O(log n) steps, whereas the all-to-all broadcast algorithm requires 10N+15 steps.

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