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
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)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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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