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20082026
most citedThe "Runs" Theorem

106 citations · 239 across the 67 of their papers we have counts for

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cs.DS2026

String Representation Based on Substring Equation Systems

Hiroki Shibata, Hideo Bannai

Repetitiveness measures quantify how much repetitive structure a string contains and serve as parameters for compressed representations and indexing data structures. Many compressi…

cs.DS2026

Sensitivity of Repetitiveness Measures to String Reversal

Hideo Bannai, Yuto Fujie, Peaker Guo +4

We study the impact that string reversal can have on several repetitiveness measures. First, we exhibit an infinite family of strings where the number, , of runs in the run-leng…

cs.DS2026

Online Computation of Palindromes and Suffix Trees on Tries

Hiroki Shibata, Mitsuru Funakoshi, Takuya Mieno +5

We consider the problems of computing maximal palindromes and distinct palindromes in a trie. A trie is a natural generalization of a string, which can be seen as a single-path tre…

cs.DS2025

Nyldon Factorization of Thue-Morse Words and Fibonacci Words

Kaisei Kishi, Kazuki Kai, Yuto Nakashima +2

The Nyldon factorization is a string factorization that is a non-decreasing product of Nyldon words. Nyldon words and Nyldon factorizations are recently defined combinatorial objec…

cs.DS2024

Tight bounds on the number of non-equivalent parameterized squares in a word

Rikuya Hamai, Kazushi Taketsugu, Yuto Nakashima +3

Two words of the same length are said to be \emph{parameterized equivalent} if there exists a character bijection that transforms into . A word is called a paramet…

cs.DS2024

Height-bounded Lempel-Ziv encodings

Hideo Bannai, Mitsuru Funakoshi, Diptarama Hendrian +2

We introduce height-bounded LZ encodings (LZHB), a new family of compressed representations that are variants of Lempel-Ziv parsings with a focus on bounding the worst-case access…