A Fast Distributed Suffix Array Generation Algorithm

João Paulo Kitajima and Gonzalo Navarro

We present a distributed algorithm for suffix array generation, based on the sequential algorithm of Manber and Myers. The sequential algorithm is O(n log n) in the worst case and O(n log log n) on average, where n is the text size. Using p processors connected through a high bandwidth network, we obtain O((n/p) log log n) average time, which is an almost optimal speedup. Unlike previous algorithms, the text is not transmitted through the network and hence the messages exchanged are much smaller. We present some experimental evidence to show that the new algorithm can be faster than the sequential Manber and Myers counterpart.