Efficient String Matching With K Differences

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Efficient String Matching With K Differences
Gad M Landau
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Note, however, that a trivial change in the initialization step is required.
Initialization.
M AX- LENGTH (m-l, m-l-d) := 1 \ia m = a m _ a MAX - LENGTH (m - l, m- 1- d) := otherwise The computation proceeds along decreasing indices of diagonal d, M AX- LENGTH (i, i-d) := l+MAX-LENGTH(i+l, i-d+l) if fl^-aftf-i M AX- LENGTH (i, i-d) := otherwise Complexity. The number of operations performed by the algorithm for each diagonal is proportional to the number of pairs on the diagonal. Therefore, the
... total number of operations performed by the algorithms for all diagonals is proportional to the the total number of pairs which is 0(m 2 ).
IV. ANALYSIS OF THE TEXT (first Implementation) The input to the text analysis consists of the following: a) The pattern. An array A = a it . . . , a m .
b) The text. An array t = t i t n .
c) An integer tsO.
d) The output of the pattern analysis: The two dimensional array MAX -LENGTH.
Output of the text analysis: All occurrences with s k differences of the pattern in the text.


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