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Edit and Alphabet-Ordering Sensitivity of Lex-parse
February 29, 2024 Β· Declared Dead Β· π International Symposium on Mathematical Foundations of Computer Science
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Authors
Yuto Nakashima, Dominik KΓΆppl, Mitsuru Funakoshi, Shunsuke Inenaga, Hideo Bannai
arXiv ID
2402.19223
Category
cs.DS: Data Structures & Algorithms
Citations
1
Venue
International Symposium on Mathematical Foundations of Computer Science
Last Checked
4 months ago
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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