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Lempel-Ziv (LZ77) factorization in sublinear time
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 …
partition a given string T from left to right into blocks (called phrases) so that each phrase is …
Optimal Bounds for Distinct Quartics
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 …
in many versions, from both purely combinatorial and algorithmic angles. One of the most …
[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 …
sequences of symbols. It plays a crucial role in various applications, including lossless …
String 2-covers with no length restrictions
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 …
index in $ S $ is contained in an occurrence of at least one string $ C_i $. The existence of a …
Searching 2d-strings for matching frames
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 …
matching frame in a $2 $-dimensional $ n\times m $ string $ M $, is a rectangle such that the …
Computing palindromes and suffix trees of dynamic trees
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 …
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 …
applications, including Bioinformatics, Information Retrieval, and Cybersecurity. Exact …