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20242026
most citedSubsequence Matching and LCS under Cartesian-Tree Equivalence

1 citations · 1 across the 11 of their papers we have counts for

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12 papers

cs.DS2026

Disproving the Greedy Superstring Conjecture

Hiroki Shibata

The shortest common superstring problem is to find the shortest string that contains every string in a given set as a substring. It is conjectured that the greedy algorithm that re…

cs.DS2026

Sensitivity and Size Relationships of the Lempel-Ziv Factorization

Hiroki Shibata, Yuto Fujie

The Lempel-Ziv (LZ) factorization is a fundamental method for compressing repetitive strings. Its multiplicative sensitivity to an operation measures how much that operation can in…

cs.DS2026

Compact Enumeration of Maximal Closed Substrings in Run-Length Encoded Strings

Haruki Umezaki, Hiroki Shibata, Yuto Nakashima +1

A string is closed if , or if has a non-empty proper border occurring only as its prefix and suffix. A maximal closed substring (MCS) is a maximal occurrence of a cl…

cs.DS2026

Online computation of maximal closed substrings

Hiroki Shibata, Haruki Umezaki, Takuya Mieno +2

A non-empty string is closed if it has length one or its longest border appears exactly twice in the string. An occurrence of a closed substring is a maximal closed substring (MCS)…

math.CO2026

Relaxation of Square-Freeness

Hiroki Shibata, Takuya Mieno, Dominik Köppl +1

We extend the analysis of nonrepetitive sequences of Entringer et al. [Journal of Combinatorial Theory, 1974] to relaxations of equality testing under nonstandard equivalence relat…

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

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

Tight Additive Sensitivity on LZ-style Compressors and String Attractors

Yuto Fujie, Hiroki Shibata, Yuto Nakashima +1

The worst-case additive sensitivity of a string repetitiveness measure is defined to be the largest difference between and , where is a string of length a…

cs.DS2025

Counting Distinct (Non-)Crossing Substrings in Optimal Time

Haruki Umezaki, Hiroki Shibata, Dominik Köppl +3

Let be a string of length . The problem of counting factors crossing a position -- Problem 64 from the textbook ``125 Problems in Text Algorithms'' [Crochemore, Lecroq, and…

cs.DS2025

LZBE: an LZ-style compressor supporting -time random access

Hiroki Shibata, Yuto Nakashima, Yutaro Yamaguchi +1

An LZ-like factorization of a string divides it into factors, each being either a single character or a copy of a preceding substring. While grammar-based compression schemes suppo…

cs.DS2024

Packed Acyclic Deterministic Finite Automata

Hiroki Shibata, Masakazu Ishihata, Shunsuke Inenaga

An acyclic deterministic finite automaton (ADFA) is a data structure that represents a set of strings (i.e., a dictionary) and facilitates a pattern searching problem of determinin…

cs.DS2024★ 1 cited

Subsequence Matching and LCS under Cartesian-Tree Equivalence

Taketo Tsujimoto, Yuki Yonemoto, Hiroki Shibata +3

Two strings of the same length are said to Cartesian-tree match (CT-match) if their Cartesian-trees are isomorphic [Park et al., TCS 2020]. Cartesian-tree matching is a natural mod…