On the $k$-Hamming and $k$-Edit Distances

June 15, 2023 ยท The Ethereal ยท ๐Ÿ› Italian Conference on Theoretical Computer Science

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Chiara Epifanio, Luca Forlizzi, Francesca Marzi, Filippo Mignosi, Giuseppe Placidi, Matteo Spezialetti arXiv ID 2306.09144 Category cs.CC: Computational Complexity Cross-listed cs.CL, cs.DS Citations 2 Venue Italian Conference on Theoretical Computer Science Last Checked 2 months ago
Abstract
In this paper we consider the weighted $k$-Hamming and $k$-Edit distances, that are natural generalizations of the classical Hamming and Edit distances. As main results of this paper we prove that for any $k\geq 2$ the DECIS-$k$-Hamming problem is $\mathbb{P}$-SPACE-complete and the DECIS-$k$-Edit problem is NEXPTIME-complete.
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