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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 ( (+)).
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.
This subsequence has length six; the input sequence has no seven-member increasing subsequences. The longest increasing subsequence in this example is not the only solution: for instance, 0, 4, 6, 9, 11, 15 0, 2, 6, 9, 13, 15 0, 4, 6, 9, 13, 15. are other increasing subsequences of equal length in the same input sequence.
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.
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
This is a problem closely related to the longest common subsequence problem. Given two sequences X = < x 1,...,x m > and Y = < y 1,...,y n >, a sequence U = < u 1,...,u k > is a common supersequence of X and Y if items can be removed from U to produce X and Y. A shortest common supersequence (SCS) is a common supersequence of minimal length.
In computer science, the Hunt–Szymanski algorithm, [1] [2] also known as Hunt–McIlroy algorithm, is a solution to the longest common subsequence problem.It was one of the first non-heuristic algorithms used in diff which compares a pair of files each represented as a sequence of lines.
In computer science, the longest palindromic substring or longest symmetric factor problem is the problem of finding a maximum-length contiguous substring of a given string that is also a palindrome.