Lempel-Ziv (LZ77) factorization in sublinear time

D Kempa, T Kociumaka - 2024 IEEE 65th Annual Symposium …, 2024 - ieeexplore.ieee.org
Lempel-Ziv (LZ77) factorization is a fundamental problem in string processing: Greedily
partition a given string T from left to right into blocks (called phrases) so that each phrase is …

Optimal Bounds for Distinct Quartics

P Charalampopoulos, P Gawrychowski… - arXiv preprint arXiv …, 2024 - arxiv.org
A fundamental concept related to strings is that of repetitions. It has been extensively studied
in many versions, from both purely combinatorial and algorithmic angles. One of the most …

Searching 2d-strings for matching frames

I Boneh, D Fried, S Golan, M Kraus, A Miclaus… - arXiv preprint arXiv …, 2023 - arxiv.org
We introduce the natural notion of a matching frame in a $2 $-dimensional string. A
matching frame in a $2 $-dimensional $ n\times m $ string $ M $, is a rectangle such that the …

[PDF][PDF] Efficient string algorithmics across alphabet realms

J Ellert - 2024 - eldorado.tu-dortmund.de
Stringology is a subfield of computer science dedicated to analyzing and processing
sequences of symbols. It plays a crucial role in various applications, including lossless …

String 2-Covers with No Length Restrictions

I Boneh, S Golan, A Shur - arXiv preprint arXiv:2405.11475, 2024 - arxiv.org
A $\lambda $-cover of a string $ S $ is a set of strings $\{C_i\} _1^\lambda $ such that every
index in $ S $ is contained in an occurrence of at least one string $ C_i $. The existence of a …

Computing palindromes and suffix trees of dynamic trees

M Funakoshi, T Mieno, Y Nakashima, S Inenaga… - 2024 - researchsquare.com
We consider the problems of computing maximal palindromes and distinct palindromes in
an edge-labeled rooted tree where each edge is labeled by a single character. Such a tree …

Sketch-based approaches to process massive string data

G Gourdel - 2023 - theses.hal.science
The simplicity of strings and their impactful usage puts their processing at the heart of many
applications, including Bioinformatics, Information Retrieval, and Cybersecurity. Exact …