Abstract

A space-efficient Information Dispersal Algorithm (IDA) is applied to fault-tolerant parallel communication in the hypercube. LetN denote the size of the network. Our routing scheme runs in 2·logN+1 time using constant size buffers (if the routing information is not counted). Its probability of successful routing is at least 1−N−2.419·logN+1.5, proving Rabin's conjecture. The scheme runswithin the said time bound without queueing delay, and it toleratesO(N) random link failures with high probability.

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