Common subsequences and supersequences and their expected length
Let f(n,k,l) be the expected length of a longest common subsequence of l sequences of length n over an alphabet of size k. It is known that there are constants γ vank (vanl) such that f(n, k, l) → γ vank (vanl) vann, we show that γ vank (vanl) =vanθ(k1/l−1). Bounds for the corresponding constants for the expected length of a shortest common supersequence are also presented.
KeywordsLower Bound Kolmogorov Complexity 11th Annual Symposium Longe Common Subsequence Information Processing Letter
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