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The domains of data mining and knowledge discovery make use of large amounts of textual data, which need to be handled efficiently. Specific problems, like finding the maximum weight ordered common subset of a set of ordered sets or…

Data Structures and Algorithms · Computer Science 2009-12-07 Mugurel Ionut Andreica , Nicolae Tapus

In the last decades, the necessity to process massive amounts of textual data fueled the development of compressed text indexes: data structures efficiently answering queries on a given text while occupying space proportional to the…

Data Structures and Algorithms · Computer Science 2024-09-24 Dominik Kempa , Tomasz Kociumaka

The observed frequency of the longest proper prefix, the longest proper suffix, and the longest infix of a word $w$ in a given sequence $x$ can be used for classifying $w$ as avoided or overabundant. The definitions used for the expectation…

String matching is one of the most fundamental problems in computer science. A natural problem is to determine the number of characters that need to be queried (i.e. the decision tree complexity) in a string in order to decide whether this…

Computational Complexity · Computer Science 2018-06-29 Xiaoyu He , Neng Huang , Xiaoming Sun

Intervals have been generated in many applications (e.g., temporal databases), and they are often associated with weights, such as prices. This paper addresses the problem of processing top-k weighted stabbing queries on interval data.…

Databases · Computer Science 2024-05-24 Daichi Amagata , Junya Yamada , Yuchen Ji , Takahiro Hara

Let $S$ be a string of length $n$ over an alphabet $\Sigma$ and let $Q$ be a subset of $\Sigma$ of size $q \geq 2$. The 'co-occurrence problem' is to construct a compact data structure that supports the following query: given an integer $w$…

Data Structures and Algorithms · Computer Science 2022-11-11 Philip Bille , Inge Li Gørtz , Tord Stordalen

Cartesian tree pattern matching consists of finding all the factors of a text that have the same Cartesian tree than a given pattern. There already exist theoretical and practical solutions for the exact case. In this paper, we propose the…

Data Structures and Algorithms · Computer Science 2025-05-15 Bastien Auvray , Julien David , Samah Ghazawi , Richard Groult , Gad M. Landau , Thierry Lecroq

Runtime predictive analyses enhance coverage of traditional dynamic analyses based bug detection techniques by identifying a space of feasible reorderings of the observed execution and determining if any of these witnesses the violation of…

Programming Languages · Computer Science 2024-05-20 Zhendong Ang , Umang Mathur

A factor $u$ of a word $w$ is a cover of $w$ if every position in $w$ lies within some occurrence of $u$ in $w$. A word $w$ covered by $u$ thus generalizes the idea of a repetition, that is, a word composed of exact concatenations of $u$.…

Data Structures and Algorithms · Computer Science 2014-01-03 Tomasz Kociumaka , Jakub Radoszewski , Wojciech Rytter , Solon P. Pissis , Tomasz Waleń

Text classification is one of the most frequent tasks for processing textual data, facilitating among others research from large-scale datasets. Embeddings of different kinds have recently become the de facto standard as features used for…

Computation and Language · Computer Science 2020-09-03 Arkaitz Zubiaga

In this paper, a fully compressed pattern matching problem is studied. The compression is represented by straight-line programs (SLPs), i.e. a context-free grammars generating exactly one string; the term fully means that both the pattern…

Data Structures and Algorithms · Computer Science 2013-06-26 Artur Jeż

In this short note we present a comprehensive bibliography for the online exact string matching problem. The problem consists in finding all occurrences of a given pattern in a text. It is an extensively studied problem in computer science,…

Data Structures and Algorithms · Computer Science 2016-05-18 Simone Faro

It is well-known that checking whether a given string $w$ matches a given regular expression $r$ can be done in quadratic time $O(|w|\cdot |r|)$ and that this cannot be improved to a truly subquadratic running time of $O((|w|\cdot…

Data Structures and Algorithms · Computer Science 2025-08-21 Antoine Amarilli , Florin Manea , Tina Ringleb , Markus L. Schmid

We study the problem of matching a string in a labeled graph. Previous research has shown that unless the Orthogonal Vectors Hypothesis (OVH) is false, one cannot solve this problem in strongly sub-quadratic time, nor index the graph in…

Data Structures and Algorithms · Computer Science 2022-06-14 Massimo Equi , Tuukka Norri , Jarno Alanko , Bastien Cazaux , Alexandru I. Tomescu , Veli Mäkinen

We design alignment-free techniques for comparing a sequence or word, called a target, against a set of words, called a reference. A target-specific factor of a target $T$ against a reference $R$ is a factor $w$ of a word in $T$ which is…

Data Structures and Algorithms · Computer Science 2023-04-07 Marie-Pierre Béal , Maxime Crochemore

In this paper, proximity full-text searches in large text arrays are considered. A search query consists of several words. The search result is a list of documents containing these words. In a modern search system, documents that contain…

Information Retrieval · Computer Science 2020-06-28 Alexander B. Veretennikov

Given a string $P$ of length $m$, a longer string $T$ of length $n>m$, and two integers $l\geq 0$ and $r\geq 0$, the context of $P$ in $T$ is the set of all string pairs $(L,R)$, with $|L|=l$ and $|R|=r$, such that the string $LPR$ occurs…

Data Structures and Algorithms · Computer Science 2025-06-24 Ling Li , Daniel Gibney , Sharma V. Thankachan , Solon P. Pissis , Grigorios Loukides

We introduce a compressed suffix array representation that, on a text $T$ of length $n$ over an alphabet of size $\sigma$, can be built in $O(n)$ deterministic time, within $O(n\log\sigma)$ bits of working space, and counts the number of…

Data Structures and Algorithms · Computer Science 2017-09-05 J. Ian Munro , Gonzalo Navarro , Yakov Nekrich

We revisit the complexity of building, given a two-dimensional string of size $n$, an indexing structure that allows locating all $k$ occurrences of a two-dimensional pattern of size $m$. While a structure of size $\mathcal{O}(n)$ with…

Data Structures and Algorithms · Computer Science 2025-08-26 Paweł Gawrychowski , Adam Górkiewicz

The compact directed acyclic word graph (CDAWG) of a string $T$ of length $n$ takes space proportional just to the number $e$ of right extensions of the maximal repeats of $T$, and it is thus an appealing index for highly repetitive…

Data Structures and Algorithms · Computer Science 2017-09-27 Djamal Belazzougui , Fabio Cunial
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