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Approximating edit distance in near-linear time

2009
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Proceedings of the 41st annual ACM symposium on Symposium on theory of computing - STOC '09
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We show how to compute the edit distance between two strings of length n up to a factor of 2Õ ( √ log n) in n 1+o(1) time. This is the first sub-polynomial approximation algorithm for this problem that runs in near-linear time, improving on the state-of-the-art n 1/3+o(1) approximation. Previously, approximation of 2Õ ( √ log n) was known only for embedding edit distance into ℓ1, and it is not known if that embedding can be computed in less than a quadratic time.

doi:10.1145/1536414.1536444
dblp:conf/stoc/AndoniO09
fatcat:xobbcdv5rnddzemh6wydl3ftgu