Edit and Alphabet-Ordering Sensitivity of Lex-parse

Fuente: arXiv
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Autori principali: Nakashima, Yuto, Köppl, Dominik, Funakoshi, Mitsuru, Inenaga, Shunsuke, Bannai, Hideo
Natura: Preprint
Pubblicazione: 2024
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author Nakashima, Yuto
Köppl, Dominik
Funakoshi, Mitsuru
Inenaga, Shunsuke
Bannai, Hideo
author_facet Nakashima, Yuto
Köppl, Dominik
Funakoshi, Mitsuru
Inenaga, Shunsuke
Bannai, Hideo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_19223
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Edit and Alphabet-Ordering Sensitivity of Lex-parse
Nakashima, Yuto
Köppl, Dominik
Funakoshi, Mitsuru
Inenaga, Shunsuke
Bannai, Hideo
Data Structures and Algorithms
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.
title Edit and Alphabet-Ordering Sensitivity of Lex-parse
topic Data Structures and Algorithms
url https://arxiv.org/abs/2402.19223