On the levenshtein automaton and the size of the neighbourhood of a word

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Abstract

Given a word P and a maximal number of errors k, we address the problem of counting the number of strings whose Levenshtein distance to P does not exceed k. We give an algorithm that scales linearly with the size of P and that is based on a variant of the classical Levenshtein automaton.

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Touzet, H. (2016). On the levenshtein automaton and the size of the neighbourhood of a word. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9618, pp. 207–218). Springer Verlag. https://doi.org/10.1007/978-3-319-30000-9_16

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