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  2. Longest repeated substring problem - Wikipedia

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

    A suffix tree of the letters ATCGATCGA$ In computer science, the longest repeated substring problem is the problem of finding the longest substring of a string that occurs at least twice.

  3. Longest common substring - Wikipedia

    en.wikipedia.org/wiki/Longest_common_substring

    One can find the lengths and starting positions of the longest common substrings of and in (+) time with the help of a generalized suffix tree.A faster algorithm can be achieved in the word RAM model of computation if the size of the input alphabet is in (⁡ (+)).

  4. Longest common subsequence - Wikipedia

    en.wikipedia.org/wiki/Longest_common_subsequence

    A longest common subsequence (LCS) is the longest subsequence common to all sequences in a set of sequences (often just two sequences). It differs from the longest common substring : unlike substrings, subsequences are not required to occupy consecutive positions within the original sequences.

  5. List of NP-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_NP-complete_problems

    Longest common subsequence problem over multiple sequences [3]: SR10 The bounded variant of the Post correspondence problem [3]: SR11 Shortest common supersequence over multiple sequences [3]: SR8 Extension of the string-to-string correction problem [11] [3]: SR8

  6. ROUGE (metric) - Wikipedia

    en.wikipedia.org/wiki/ROUGE_(metric)

    ROUGE-L: Longest Common Subsequence (LCS) [3] based statistics. Longest common subsequence problem takes into account sentence-level structure similarity naturally and identifies longest co-occurring in sequence n-grams automatically. ROUGE-W: Weighted LCS-based statistics that favors consecutive LCSes.

  7. Edit distance - Wikipedia

    en.wikipedia.org/wiki/Edit_distance

    When the language L is context free, there is a cubic time dynamic programming algorithm proposed by Aho and Peterson in 1972 which computes the language edit distance. [15] For less expressive families of grammars, such as the regular grammars , faster algorithms exist for computing the edit distance.

  8. String-searching algorithm - Wikipedia

    en.wikipedia.org/wiki/String-searching_algorithm

    A simple and inefficient way to see where one string occurs inside another is to check at each index, one by one. First, we see if there is a copy of the needle starting at the first character of the haystack; if not, we look to see if there's a copy of the needle starting at the second character of the haystack, and so forth.

  9. Longest alternating subsequence - Wikipedia

    en.wikipedia.org/.../Longest_Alternating_Subsequence

    The longest alternating subsequence problem has also been studied in the setting of online algorithms, in which the elements of are presented in an online fashion, and a decision maker needs to decide whether to include or exclude each element at the time it is first presented, without any knowledge of the elements that will be presented in the future, and without the possibility of recalling ...