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  2. Longest common substring - Wikipedia

    en.wikipedia.org/wiki/Longest_common_substring

    The variable z is used to hold the length of the longest common substring found so far. The set ret is used to hold the set of strings which are of length z. The set ret can be saved efficiently by just storing the index i, which is the last character of the longest common substring (of size z) instead of S[(i-z+1)..i].

  3. Longest palindromic substring - Wikipedia

    en.wikipedia.org/wiki/Longest_palindromic_substring

    With that knowledge, everything after the "c" looks like the reflection of everything before the "c". The "a" after the "c" has the same longest palindrome as the "a" before the "c". Similarly, the "b" after the "c" has a longest palindrome that is at least the length of the longest palindrome centered on the "b" before the "c". There are some ...

  4. Longest repeated substring problem - Wikipedia

    en.wikipedia.org/wiki/Longest_repeated_substring...

    The string spelled by the edges from the root to such a node is a longest repeated substring. The problem of finding the longest substring with at least k {\displaystyle k} occurrences can be solved by first preprocessing the tree to count the number of leaf descendants for each internal node, and then finding the deepest node with at least k ...

  5. Longest common subsequence - Wikipedia

    en.wikipedia.org/wiki/Longest_common_subsequence

    Comparison of two revisions of an example file, based on their longest common subsequence (black) A Longest Common Subsequence (LCS) is the longest subsequence common to all sequences in a set of sequences (often just two sequences).

  6. Suffix tree - Wikipedia

    en.wikipedia.org/wiki/Suffix_tree

    String search, in O(m) complexity, where m is the length of the sub-string (but with initial O(n) time required to build the suffix tree for the string) Finding the longest repeated substring; Finding the longest common substring; Finding the longest palindrome in a string

  7. Chvátal–Sankoff constants - Wikipedia

    en.wikipedia.org/wiki/Chvátal–Sankoff_constants

    Given parameters n and k, choose two length-n strings S and T from the same k-symbol alphabet, with each character of each string chosen uniformly at random, independently of all the other characters. Compute a longest common subsequence of these two strings, and let , be the random variable whose value is the length of this subsequence.

  8. Substring - Wikipedia

    en.wikipedia.org/wiki/Substring

    string" is a substring of "substring" In formal language theory and computer science, a substring is a contiguous sequence of characters within a string. [citation needed] For instance, "the best of" is a substring of "It was the best of times". In contrast, "Itwastimes" is a subsequence of "It was the best of times", but not a substring.

  9. Suffix automaton - Wikipedia

    en.wikipedia.org/wiki/Suffix_automaton

    Similarly to right contexts one may introduce "left contexts" [] = {:}, "right extensions" corresponding to the longest string having same left context as and the equivalence relation [] = []. If one considers right extensions with respect to the language L {\displaystyle L} of "prefixes" of the string S {\displaystyle S} it may be obtained: [ 15 ]