In this paper we present a parallel wavefront algorithm for computing an alignment between two strings A and C, with |A| = m and |C| = n. On a distributed memory parallel computer of p processors each with O((m + n)/p) memory, the proposed algorithm requires O(p) communication rounds and O(mn/p) local computing time. The novelty of this algorithm is based on a compromise between the workload of each processor and the number of communication rounds required, expressed by a parameter called a. The proposed algorithm is expressed in terms of this parameter that can be tuned to obtain the best overall parallel time in a given implementation. We show very promising experimental results obtained on a 64-node Beowulf machine. A characteristic of the wavefront communication requirement is that each processor communicates with few other processors. This makes it very suitable as a potential application for grid computing.

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Alves, C.E.R., Cáceres, E.N., Dehne, F, & Song, S.W. (2003). A parallel wavefront algorithm for efficient biological sequence comparison.