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arXiv · 2402.19223

Edit and Alphabet-Ordering Sensitivity of Lex-parse

Yuto Nakashima·Dominik Köppl·Mitsuru Funakoshi·Shunsuke Inenaga·Hideo Bannai
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Abstract

We investigate the compression sensitivity [Akagi et al., 2023] of lex-parse [Navarro et al., 2021] for two operations: (1) single character edit and (2) modification of the alphabet ordering, and give tight upper and lower bounds for both operations. For both lower bounds, we use the family of Fibonacci words. For the bounds on edit operations, our analysis makes heavy use of properties of the Lyndon factorization of Fibonacci words to characterize the structure of lex-parse.

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Yuto Nakashima, Dominik Köppl, Mitsuru Funakoshi, Shunsuke Inenaga, Hideo Bannai. 2024-02-29. Edit and Alphabet-Ordering Sensitivity of Lex-parse. https://arxiv.org/abs/2402.19223

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