Definition: The problem of finding a maximum length (or maximum weight) subsequence of two or more strings.
Also known as heaviest common subsequence.
See also Ratcliff/Obershelp pattern recognition, longest common substring, shortest common supersequence.
Note: The longest common substring is contiguous, while the longest common subsequence need not be.
From Algorithms and Theory of Computation Handbook, page 13-17, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.
Dan Hirschberg's pseudocode as an example of dynamic programming Longest-common subsequence problem in Wikipedia.
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 2 September 2014.
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Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "longest common subsequence", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 2 September 2014. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/longestCommonSubsequence.html