Abstract

A word uu is a subsequence of another word ww if uu can be obtained from ww by deleting some of its letters. The word ww with alph(w)=Σ(w)=Σ is called kk-subsequence universal if the set of subsequences of length kk of ww contains all possible words of length kk over ΣΣ. We propose a series of efficient algorithms computing the minimal number of edit operations (insertion, deletion, substitution) one needs to apply to a given word in order to reach the set of kk-subsequence universal words.

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