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The complexity of finding the Longest Common Subsequence (LCS) and the Shortest Common Supersequence (SCS) of an arbRrary number of sequences IS considered We show that the yes/no version of the LCS problem is NP-complete for sequences over an alphabet of size 2, and that the yes/no SCS problem is NPcomplete for sequences over an alphabet of size 5 KEY WORDS AND PHRASES computational complexity, NP-completeness, longest common subsequence, shortest common supersequence CR CATEGORIES 5 23, 5 39
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David Maier (1978) studied this question.
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