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We generalise a multiple string pattern matching algorithm, recently proposed by Fredriksson and Grabowski [J. Discr. Alg. 7, 2009], to deal with arbitrary dictionaries on an alphabet of size $s$. If $r_m$ is the number of words of length…

Data Structures and Algorithms · Computer Science 2017-07-03 Frédérique Bassino , Tsinjo Rakotoarimalala , Andrea Sportiello

Given a set of pattern strings $\mathcal{P}=\{P_1, P_2,\ldots P_k\}$ and a text string $S$, the classic dictionary matching problem is to report all occurrences of each pattern in $S$. We study the dictionary problem in the compressed…

Data Structures and Algorithms · Computer Science 2025-09-04 Philip Bille , Inge Li Gørtz , Simon J. Puglisi , Simon R. Tarnow

We study strategies of approximate pattern matching that exploit bidirectional text indexes, extending and generalizing ideas of Lam et al. We introduce a formalism, called search schemes, to specify search strategies of this type, then…

Data Structures and Algorithms · Computer Science 2015-09-08 Gregory Kucherov , Kamil Salikhov , Dekel Tsur

Given strings $P$ and $Q$ the (exact) string matching problem is to find all positions of substrings in $Q$ matching $P$. The classical Knuth-Morris-Pratt algorithm [SIAM J. Comput., 1977] solves the string matching problem in linear time…

Data Structures and Algorithms · Computer Science 2010-09-08 Philip Bille

In this paper, we extend the notion of gapped strings to elastic-degenerate strings. An elastic-degenerate string can been seen as an ordered collection of k > 1 seeds (substrings/subpatterns) interleaved by elastic-degenerate symbols such…

Data Structures and Algorithms · Computer Science 2016-10-27 Costas Iliopoulos , Ritu Kundu , Solon Pissis

Graphs provide a natural way to represent data by encoding information about objects and the relationships between them. With the ever-increasing amount of data collected and generated, locating specific patterns of relationships between…

Data Structures and Algorithms · Computer Science 2026-04-28 Tatyana Benko , Rebecca Jones , Lucas Tate

Efficient pattern matching is fundamental for practical term rewrite engines. By preprocessing the given patterns into a finite deterministic automaton the matching patterns can be decided in a single traversal of the relevant parts of the…

Logic in Computer Science · Computer Science 2023-06-22 Rick Erkens , Maurice Laveaux

In this paper we present two algorithms for the following problem: given a string and a rational $e > 1$, detect in the online fashion the earliest occurrence of a repetition of exponent $\ge e$ in the string. 1. The first algorithm…

Data Structures and Algorithms · Computer Science 2015-05-04 Dmitry Kosolobov

Multiple string matching is known as locating all the occurrences of a given number of patterns in an arbitrary string. It is used in bio-computing applications where the algorithms are commonly used for retrieval of information such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-07 S. Arudchutha , T. Nishanthy , R. G. Ragel

We propose a new method for shape recognition and retrieval based on dynamic programming. Our approach uses the dynamic programming algorithm to compute the optimal score and to find the optimal alignment between two strings. First, each…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Noreddine Gherabi , Bahaj Mohamed

Regular expression patterns are a key feature of document processing languages like Perl and XDuce. It is in this context that the first and longest match policies have been proposed to disambiguate the pattern matching process. We formally…

Programming Languages · Computer Science 2007-05-23 Stijn Vansummeren

We describe a substring search problem that arises in group presentation simplification processes. We suggest a two-level searching model: skip and match levels. We give two timestamp algorithms which skip searching parts of the text where…

Group Theory · Mathematics 2009-09-25 George Havas , Jin Xian Lian

Fast matching of regular expressions with bounded repetition, aka counting, such as (ab){50,100}, i.e., matching linear in the length of the text and independent of the repetition bounds, has been an open problem for at least two decades.…

Formal Languages and Automata Theory · Computer Science 2023-01-31 Lukáš Holík , Juraj Síč , Lenka Turoňová , Tomáš Vojnar

We study pattern matching problems on two major representations of uncertain sequences used in molecular biology: weighted sequences (also known as position weight matrices, PWM) and profiles (i.e., scoring matrices). In the simple version,…

Data Structures and Algorithms · Computer Science 2016-07-12 Tomasz Kociumaka , Solon P. Pissis , Jakub Radoszewski

As the Internet help us cross cultural border by providing different information, plagiarism issue is bound to arise. As a result, plagiarism detection becomes more demanding in overcoming this issue. Different plagiarism detection tools…

Computer Vision and Pattern Recognition · Computer Science 2010-03-25 Chow Kok Kent , Naomie Salim

Strings form a fundamental data type in computer systems. String searching has been extensively studied since the inception of computer science. Increasingly many applications have to deal with imprecise strings or strings with fuzzy…

Databases · Computer Science 2015-09-30 Sharma V. Thankachan , Manish Patil , Rahul Shah , Sudip Biswas

In this paper, we consider the problem of identifying patterns of interest in colored strings. A colored string is a string where each position is assigned one of a finite set of colors. Our task is to find substrings of the colored string…

Data Structures and Algorithms · Computer Science 2024-04-16 Zsuzsanna Lipták , Simon J. Puglisi , Massimiliano Rossi

Linear regression is a fundamental modeling tool in statistics and related fields. In this paper, we study an important variant of linear regression in which the predictor-response pairs are partially mismatched. We use an optimization…

Optimization and Control · Mathematics 2022-11-01 Rahul Mazumder , Haoyue Wang

The dictionary matching problem preprocesses a set of patterns and finds all occurrences of each of the patterns in a text when it is provided. We focus on the dynamic setting, in which patterns can be inserted to and removed from the…

Data Structures and Algorithms · Computer Science 2013-02-04 Shoshana Marcus , Dina Sokol

Addresses occupy a niche location within the landscape of textual data, due to the positional importance carried by every word, and the geographical scope it refers to. The task of matching addresses happens everyday and is present in…

Information Retrieval · Computer Science 2024-03-20 Keshav Ramani , Daniel Borrajo
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