k-Approximate Quasiperiodicity Under Hamming and Edit Distance

Finding Approximate Repetitions under Hamming Distance

Approximate String Searching under Weighted Edit Distance

Let p 2 be a string of length m and t 2 be a string of length n. The approximate string searching problem is to nd all approximate matches of p in t having weighted edit distance at most k from p. We present a new method that preprocesses the pattern into a DFA which scans t online in linear time, thereby recognizing all positions in t where an approximate match ends. We show how to reduce the ...

Restricted Transposition Invariant Approximate String Matching Under Edit Distance

Let A and B be strings with lengths m and n, respectively, over a finite integer alphabet. Two classic string mathing problems are computing the edit distance between A and B, and searching for approximate occurrences of A inside B. We consider the classic Levenshtein distance, but the discussion is applicable also to indel distance. A relatively new variant [8] of string matching, motivated in...

Bit-parallel approximate string matching under Hamming distance

MACFP: Maximal Approximate Consecutive Frequent Pattern Mining under Edit Distance

Consecutive pattern mining aiming at finding sequential patterns substrings, is a special case of frequent pattern mining and has been played a crucial role in many real world applications, especially in biological sequence analysis, time series analysis, and network log mining. Approximations, including insertions, deletions, and substitutions, between strings are widely used in biological seq...