# KMP Algorithm

May 13th, 2015
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String Searching Problem Input: A ‘word’ string W and a ‘text’ string S Check if W exists as a substring of S, and if it does thenreturn its location.

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KMP Algorithm DSA 18 2 15KMP AlgorithmKnuth-Morris-PrattString Searching ProblemInput: A word string W and a text string SCheck if W exists as a substring of S, and if it does thenreturn its location.Output: The position in S at which W is foundBrute ForceS:ABCAW:CABABCABABACBrute ForceS:W:ABCABCABACABABACBrute ForceS:W:ABCABCCABAABABACBrute ForceS:W:ABCABCCABAABABACBrute ForceS:W:ABCABCCABAABABACBrute ForceS:W:ABCABCCABAABABACBrute ForceS:W:ABCABCACABABABACWorst Case of Brute ForceS:AAAAW:AAACAAAAAAAAAACWorst Case of Brute ForceS:AAAAW:AAACAAAAAAAAAACIf |S|=n, |W|=m then the algorithm runs in O(mn) time.Better AlgorithmsBackward AlgorithmRaita AlgorithmBoyer and Moore AlgorithmReverse Factor AlgorithmColussi AlgorithmReverse Colussi AlgorithmCrochemore and Perrin AlgorithmSelf Max-Suffix AlgorithmGalil Gianardo AlgorithmSimon AlgorithmGalil and Seiferas AlgorithmSkip Search AlgorithmHorsepool AlgorithmSmith AlgorithmKnuth Morris and Pratt AlgorithmTuned Boyer and Moore AlgorithmKMP Skip AlgorithmTwo Way AlgorithmMax-Suffix Matching AlgorithmUniqueness AlgorithmMo

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