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A filtering algorithm for k-mismatch with don't cares
Authors:Raphaël Clifford  Ely Porat
Affiliation:a University of Bristol, Dept. of Computer Science, Bristol, BS8 1UB, UK
b Bar-Ilan University, Dept. of Computer Science, 52900 Ramat-Gan, Israel
Abstract:We present a filtering based algorithm for the k-mismatch pattern matching problem with don't cares. Given a text t of length n and a pattern p of length m with don't care symbols in either p or t (but not both), and a bound k, our algorithm finds all the places that the pattern matches the text with at most k mismatches. The algorithm is deterministic and runs in Θ(nm1/3k1/3log2/3m) time.
Keywords:Algorithms  Design of algorithms  Combinatorial problems  String algorithms  Don't cares  Pattern matching  Filtering  Fast Fourier transforms
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