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 E. Black.
Entry modified 28 February 2011.
HTML page formatted Tue Dec 6 16:16:32 2011.
Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "longest common subsequence", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 28 February 2011. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/longestCommonSubsequence.html