Abstract

The suffix tree of a string, the fundamental data structure in the area of combinatorial pattern matching, has many elegant applications. In this paper, we present a novel, simple sequential algorithm for the construction of suffix trees. We are also able to parallelize our algorithm so that we settle the main open problem in the construction of suffix trees: we give a Las Vegas CRCW PRAM algorithm that constructs the suffix tree of a binary string of length n in O (log n) time and O(n) work with high probability. In contrast, the previously known work-optimal algorithms, while deterministic, take Ω(log2n) time.

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