Fast algorithms for finding nearest common ancestors
SIAM Journal on Computing
Data compression: methods and theory
Data compression: methods and theory
Block edit models for approximate string matching
Theoretical Computer Science - Special issue: Latin American theoretical informatics
Approximate nearest neighbors and sequence comparison with block operations
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
The string-to-string correction problem with block moves
ACM Transactions on Computer Systems (TOCS)
Fast Similarity Search in the Presence of Noise, Scaling, and Translation in Time-Series Databases
VLDB '95 Proceedings of the 21th International Conference on Very Large Data Bases
An Improved Algorithm for Sequence Comparison with Block Reversals
LATIN '02 Proceedings of the 5th Latin American Symposium on Theoretical Informatics
Rapid identification of repeated patterns in strings, trees and arrays
STOC '72 Proceedings of the fourth annual ACM symposium on Theory of computing
Information Processing Letters
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Given two sequences X and Y that are strings over some alphabet set, we consider the distance d(X,Y) between them defined to be minimum number of character replacements and block (substring) reversals needed to transform X to Y (or vice versa). The operations are required to be disjoint. This is the "simplest" sequence comparison problem we know of that allows natural block edit operations. Block reversals arise naturally in genomic sequence comparison; they are also of interest in matching music data. We present an algorithm for exactly computing the distance d(X,Y); it takes time O(|X|log2|X|), and hence, is near-linear. Trivial approach takes quadratic time.