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Faster Approximate String Matching for Short Patterns
Authors:Email author" target="_blank">Philip?BilleEmail author
Affiliation:1.Technical University of Denmark,Kgs. Lyngby,Denmark
Abstract:We study the classical approximate string matching problem, that is, given strings P and Q and an error threshold k, find all ending positions of substrings of Q whose edit distance to P is at most k. Let P and Q have lengths m and n, respectively. On a standard unit-cost word RAM with word size w≥log n we present an algorithm using time
O(nk ·min(\fraclog2 mlogn,\fraclog2 mlogww) + n)O\biggl(nk \cdot \min\biggl(\frac{\log^2 m}{\log n},\frac{\log^2 m\log w}{w}\biggr) + n\biggr)
Keywords:
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