Algorithms on strings, trees, and sequences: computer science and computational biology
Algorithms on strings, trees, and sequences: computer science and computational biology
SIAM Journal on Computing
The String-to-String Correction Problem
Journal of the ACM (JACM)
Approximate nearest neighbors and sequence comparison with block operations
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
Communication complexity of document exchange
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Journal of Computer and System Sciences - 30th annual ACM symposium on theory of computing
A guided tour to approximate string matching
ACM Computing Surveys (CSUR)
Space lower bounds for distance approximation in the data stream model
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Introduction to Algorithms
Efficient Search for Approximate Nearest Neighbor in High Dimensional Spaces
SIAM Journal on Computing
A sublinear algorithm for weakly approximating edit distance
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Algorithmic Applications of Low-Distortion Geometric Embeddings
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Approximating Edit Distance Efficiently
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Optimal approximations of the frequency moments of data streams
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Nonembeddability theorems via Fourier analysis
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Oblivious string embeddings and edit distance approximations
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Improved lower bounds for embeddings into L1
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
The string edit distance matching problem with moves
ACM Transactions on Algorithms (TALG)
Low distortion embeddings for edit distance
Journal of the ACM (JACM)
Estimating the distance to a monotone function
Random Structures & Algorithms
Fast and compact regular expression matching
Theoretical Computer Science
Approximating edit distance in near-linear time
Proceedings of the forty-first annual ACM symposium on Theory of computing
Lower bounds for edit distance and product metrics via Poincaré-type inequalities
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
The Computational Hardness of Estimating Edit Distance
SIAM Journal on Computing
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We present a near-linear time algorithm that approximates the edit distance between two strings within a polylogarithmic factor. More precisely, for strings of length n and every fixed ε 0, it can compute a (log n)O(1/ε) -approximation in n1+ε time. This result arises naturally in the study of a new asymmetric query model. In this model, the input consists of two strings x and y, and an algorithm can access y in an unrestricted manner, while being charged for querying every symbol of x. Our query lower bound for this model provides the first rigorous separation between edit distance and Ulam distance, which is edit distance on non-repetitive strings, i.e., permutations.