Abstract

This paper analyzes the ability of several bounded degree networks that are commonly used for parallel computation to tolerate faults. Among other things it is shown that an N-node butterfly containing N/sup 1-/spl epsiv// worst-case faults (for any constant /spl epsiv/>0) can emulate a fault-free butterfly of the same size with only constant slowdown. Similar results are proven for the shuffle-exchange graph. Hence, these networks become the first connected bounded-degree networks known to be able to sustain more than a constant number of worst-case faults without suffering more than a constant-factor slowdown in performance. >

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