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Related papers: Fast Circular Pattern Matching

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In the $k$-Edit Circular Pattern Matching ($k$-Edit CPM) problem, we are given a length-$n$ text $T$, a length-$m$ pattern $P$, and a positive integer threshold $k$, and we are to report all starting positions of the substrings of $T$ that…

Data Structures and Algorithms · Computer Science 2024-02-23 Panagiotis Charalampopoulos , Solon P. Pissis , Jakub Radoszewski , Wojciech Rytter , Tomasz Waleń , Wiktor Zuba

We consider approximate circular pattern matching (CPM, in short) under the Hamming and edit distance, in which we are given a length-$n$ text $T$, a length-$m$ pattern $P$, and a threshold $k>0$, and we are to report all starting positions…

Data Structures and Algorithms · Computer Science 2025-06-13 Panagiotis Charalampopoulos , Tomasz Kociumaka , Jakub Radoszewski , Solon P. Pissis , Wojciech Rytter , Tomasz Waleń , Wiktor Zuba

The $k$-mismatch problem consists in computing the Hamming distance between a pattern $P$ of length $m$ and every length-$m$ substring of a text $T$ of length $n$, if this distance is no more than $k$. In many real-world applications, any…

Pattern matching is a fundamental process in almost every scientific domain. The problem involves finding the positions of a given pattern (usually of short length) in a reference stream of data (usually of large length). The matching can…

Data Structures and Algorithms · Computer Science 2022-07-01 Anas Al-okaily , Abdelghani Tbakhi

Contrast pattern mining (CPM) aims to discover patterns whose support increases significantly from a background dataset compared to a target dataset. CPM is particularly useful for characterising changes in evolving systems, e.g., in…

Networking and Internet Architecture · Computer Science 2020-12-01 Elaheh AlipourChavary , Sarah M. Erfani , Christopher Leckie

This paper addresses the online exact string matching problem which consists in finding all occurrences of a given pattern p in a text t. It is an extensively studied problem in computer science, mainly due to its direct applications to…

Data Structures and Algorithms · Computer Science 2010-12-14 Simone Faro , Thierry Lecroq

The research on indexing repetitive string collections has focused on the same search problems used for regular string collections, though they can make little sense in this scenario. For example, the basic pattern matching query "list all…

Data Structures and Algorithms · Computer Science 2020-10-15 Gonzalo Navarro

Given a pattern string $P$ of length $n$ and a query string $T$ of length $m$, where the characters of $P$ and $T$ are drawn from an alphabet of size $\Delta$, the {\em exact string matching} problem consists of finding all occurrences of…

Data Structures and Algorithms · Computer Science 2015-10-01 Srikrishnan Divakaran

The Exact Matching (EM) problem asks whether there exists a perfect matching which uses a prescribed number of red edges in a red/blue edge-colored graph. While there exists a randomized polynomial-time algorithm for the problem, only some…

Data Structures and Algorithms · Computer Science 2025-10-15 Nicolas El Maalouly , Kostas Lakis

A family of comparison-based exact pattern matching algorithms is described. They utilize multi-dimensional arrays in order to process more than one adjacent text window in each iteration of the search cycle. This approach leads to a lower…

Data Structures and Algorithms · Computer Science 2016-08-31 Igor O. Zavadskyi

Given an undirected weighted graph $G$ and an integer $k$, Exact-Weight Perfect Matching (EWPM) is the problem of finding a perfect matching of weight exactly $k$ in $G$. In this paper, we study EWPM and its variants. The EWPM problem is…

Data Structures and Algorithms · Computer Science 2025-07-04 Nicolas El Maalouly , Sebastian Haslebacher , Adrian Taubner , Lasse Wulf

Recently, contiguous sequential pattern mining (CSPM) gained interest as a research topic, due to its varied potential real-world applications, such as web log and biological sequence analysis. To date, studies on the CSPM problem remain in…

Databases · Computer Science 2021-11-02 Chunkai Zhang , Quanjian Dai , Zilin Du , Wensheng Gan , Jian Weng , Philip S. Yu

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

Exact string matching has been a fundamental problem in computer science for decades because of many practical applications. Some are related to common procedures, such as searching in files and text editors, or, more recently, to more…

Data Structures and Algorithms · Computer Science 2019-07-29 Konstantinos F. Xylogiannopoulos

This paper presents a generic pre-processor for expediting conventional template matching techniques. Instead of locating the best matched patch in the reference image to a query template via exhaustive search, the proposed algorithm rules…

Computer Vision and Pattern Recognition · Computer Science 2017-07-20 Bolin Liu , Xiao Shu , Xiaolin Wu

Within the context of topological data analysis, the problems of identifying topological significance and matching signals across datasets are important and useful inferential tasks in many applications. The limitation of existing solutions…

Algebraic Topology · Mathematics 2024-06-26 Inés García-Redondo , Anthea Monod , Anna Song

Approximate string matching is the problem of finding all factors of a text t of length n that are at a distance at most k from a pattern x of length m. Approximate circular string matching is the problem of finding all factors of t that…

Data Structures and Algorithms · Computer Science 2016-04-26 Carl Barton , Costas S. Iliopoulos , Solon P. Pissis

With the development of big data and artificial intelligence, the technology of urban computing becomes more mature and widely used. In urban computing, using GPS-based trajectory data to discover urban dense areas, extract similar urban…

Other Computer Science · Computer Science 2019-07-08 Yang Cao , Jingling Yuan , Song Xiao , Qing Xie

Discovering the set of closed frequent patterns is one of the fundamental problems in Data Mining. Recent Constraint Programming (CP) approaches for declarative itemset mining have proven their usefulness and flexibility. But the wide use…

Artificial Intelligence · Computer Science 2016-04-19 Mehdi Maamar , Nadjib Lazaar , Samir Loudni , Yahia Lebbah

The Tethered Particle Motion (TPM) technique informs about conformational changes of DNA molecules, e.g. upon looping or interaction with proteins, by tracking the Brownian motion of a particle probe tethered to a surface by a single DNA…

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