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The smoothed complexity of edit distance
2012
ACM Transactions on Algorithms
We initiate the study of the smoothed complexity of sequence alignment, by proposing a semi-random model of edit distance between two input strings, generated as follows. First, an adversary chooses two binary strings of length d and a longest common subsequence A of them. Then, every character is perturbed independently with probability p, except that A is perturbed in exactly the same way inside the two strings. We design two efficient algorithms that compute the edit distance on smoothed
doi:10.1145/2344422.2344434
fatcat:636p4kt4k5ee5b3ju4asfwwjci