An Efficient String Matching Algorithm With K Differences for Nucleotide And Ami

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An Efficient String Matching Algorithm With K Differences for Nucleotide And Ami
Gad M Landau
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It is easy to see that here fe, +r, +, <„^+d^/ = r, ^+i r, ^*/ but does not reveal whether the next nucleotide in the text, namely b, ^^^+^+i is equal to the next nucleotide in the pattern r^^^+^+i- Therefore, we assign row:= row+f and apply again the present case analysis accumulating the "jump" over/ into w. Case (b). F = 0, namely bi+, „^+^+, is unmatched in the S, j triples. In this case we compare nucleotide ^, +^0^^^+! to its corresponding one in the pattern, r^^^^. For example, compare b-^ to Tj, (/ = 20, row = 3, d - i). This case has two subcases. Case(bl). The two nucleotides differ. Ir. This case w. = 0. Case{b2). The two nucleotides are identical. In this case w = 1 and we assign row:= row + 1, and apply again the present case analysis accumulating this propagation of 1 into w.

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