History of longest common subsequence algorithms
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I don't know so i am giving it from google.............SORRY..,,,,,
The longest common subsequence (LCS) problem is the problem of finding the longest subsequence common to all sequences in a set of sequences (often just two sequences). It differs from the longest common substring problem: unlike substrings, subsequences are not required to occupy consecutive positions within the original sequences. The longest common subsequence problem is a classic computer science problem, the basis of data comparison programs such as the diff utility, and has applications in bioinformatics. It is also widely used by revision control systems such as Git for reconciling multiple changes made to a revision-controlled collection of files.
The longest common subsequence (LCS) problem is the problem of finding the longest subsequence common to all sequences in a set of sequences (often just two sequences). It differs from the longest common substring problem: unlike substrings, subsequences are not required to occupy consecutive positions within the original sequences. The longest common subsequence problem is a classic computer science problem, the basis of data comparison programs such as the diff utility, and has applications in bioinformatics. It is also widely used by revision control systems such as Git for reconciling multiple changes made to a revision-controlled collection of files.
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I found a research paper that gives a very vivid history and i want to share.
This is the link to the paper https://www.hindawi.com/journals/mpe/2018/4158071/
Explanation:
It explains how different scholars tried to to reduce the run time and space of the LCS based of various contraints like the using Dynamic Programming, divide and conquer as well as many more. I hope the research paper helps you.
Thank you
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