The Longest Common Subsequence (LCS) problem is finding the longest subsequence present in given two sequences in the same order, i.e., find the longest sequence which can be obtained from the first original sequence by deleting some items and from the second

Computer Networking: A Top-Down Approach (7th Edition)
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The Longest Common Subsequence (LCS)
problem is finding the longest subsequence
present in given two sequences in the same
order, i.e., find the longest sequence which can
be obtained from the first original sequence by
deleting some items and from the second
original sequence by deleting other items.
The problem differs from the problem of finding the
longest common substring. Unlike substrings,
subsequences are not required to occupy consecutive
positions within the original string.
For example, consider the two following sequences, X
and Y :
X: ABCBDAB
Y :
BDCABA
The length of the LCS is 4
LCS are BDAB, BCAB, and BCBA
Transcribed Image Text:The Longest Common Subsequence (LCS) problem is finding the longest subsequence present in given two sequences in the same order, i.e., find the longest sequence which can be obtained from the first original sequence by deleting some items and from the second original sequence by deleting other items. The problem differs from the problem of finding the longest common substring. Unlike substrings, subsequences are not required to occupy consecutive positions within the original string. For example, consider the two following sequences, X and Y : X: ABCBDAB Y : BDCABA The length of the LCS is 4 LCS are BDAB, BCAB, and BCBA
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