An efficient string matching algorithm with K substitutions for nucleotide and amino acid sequences.

Given a text of length n, a pattern of length m and an integer k, we present an algorithm for finding all occurrences of the pattern in the text, each with at most k substitutions. The algorithm runs in O(k(m log m + n)) time, and requires O(nk) space. This algorithm has direct implications for nucleotide and amino acid sequence comparisons.