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...
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),...
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...
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...