Constant-factor approximation of near-linear edit distance in near-linear time

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Abstract

We show that the edit distance between two strings of length n can be computed via a randomized algorithm within a factor of f(") in n1+" time as long as the edit distance is at least n1- for some (") > 0.

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Brakensiek, J., & Rubinstein, A. (2020). Constant-factor approximation of near-linear edit distance in near-linear time. In Proceedings of the Annual ACM Symposium on Theory of Computing (pp. 685–698). Association for Computing Machinery. https://doi.org/10.1145/3357713.3384282

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