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

Chiara Epifanio; Luca Forlizzi; Francesca Marzi; Filippo Mignosi; Giuseppe Placidi; Matteo Spezialetti

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arXiv · 2306.09144

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

Chiara Epifanio·Luca Forlizzi·Francesca Marzi·Filippo Mignosi·Giuseppe Placidi·Matteo Spezialetti

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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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Chiara Epifanio, Luca Forlizzi, Francesca Marzi, Filippo Mignosi, Giuseppe Placidi, Matteo Spezialetti. 2023-06-15. On the $k$-Hamming and $k$-Edit Distances. https://arxiv.org/abs/2306.09144

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