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The Ethereal
On the $k$-Hamming and $k$-Edit Distances
June 15, 2023 ยท The Ethereal ยท ๐ Italian Conference on Theoretical Computer Science
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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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