Explanation about the property of KMP failure function
The longest proper suffix that is also a prefix is a prefix of length p[n - 1]. The next one is the longest suffix of this suffix which is also a prefix. It is exactly a prefix of length p[p[n - 1] - 1]. We keep repeating it until we...
DFA construction in Knuth-Morris-Pratt algorithm
string,algorithm,substring,dfa,knuth-morris-pratt
Let us take a look at the following FA for pattern ACACAGA. The abvoe diagrams represent graphical and tabular representations of pattern ACACAGA. Here, number of states in DFA is M + 1 where M is length of the pattern. The main thing to construct DFA is to get the...
Redundant instruction in Knuth-Morris-Pratt algorithm
algorithm,optimization,knuth-morris-pratt
That looks fine to me, although I don't know how much difference it will make in practice. It's certainly true that in common scenarios, the majority of the loops will be precisely the case where i is 0 and the character at position S[m] ≠ W[0]. I don't think the...
When to use Rabin-Karp or KMP algorithms?
string,algorithm,matching,knuth-morris-pratt,rabin-karp
When you want to search for multiple patterns tipically the correct choice is to use Aho-Corasick which is somewhat a generalization of KMP. Now in your case you are only searching for 3 patterns so it may be the case that KMP is not that much slower(at most three times),...