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arXiv · 2404.13577

Characterization of Isometric Words based on Swap and Mismatch Distance

M. Anselmo·G. Castiglione·M. Flores·D. Giammarresi·M. Madonia·S. Mantaci
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Abstract

In this paper we consider an edit distance with swap and mismatch operations, called tilde-distance, and introduce the corresponding definition of tilde-isometric word. Isometric words are classically defined with respect to Hamming distance and combine the notion of edit distance with the property that a word does not appear as factor in other words. A word f is said tilde-isometric if, for any pair of f-free words u and v, there exists a transformation from u to v via the related edit operations such that all the intermediate words are also f -free. This new setting is here studied giving a full characterization of the tilde-isometric words in terms of overlaps with errors.

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M. Anselmo, G. Castiglione, M. Flores, D. Giammarresi, M. Madonia, S. Mantaci. 2024-04-21. Characterization of Isometric Words based on Swap and Mismatch Distance. https://arxiv.org/abs/2404.13577

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