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The problem of approximate string matching is important in many different areas such as computational biology, text processing and pattern recognition. A great effort has been made to design efficient algorithms addressing several variants…

Data Structures and Algorithms · Computer Science 2008-07-29 Dimitris Papamichail , Georgios Papamichail

The binary string matching problem consists in finding all the occurrences of a pattern in a text where both strings are built on a binary alphabet. This is an interesting problem in computer science, since binary data are omnipresent in…

Data Structures and Algorithms · Computer Science 2008-10-15 Simone Faro , Thierry Lecroq

String matching is a fundamental problem in computer science, with critical applications in text retrieval, bioinformatics, and data analysis. Among the numerous solutions that have emerged for this problem in recent decades,…

Data Structures and Algorithms · Computer Science 2025-03-10 Simone Faro , Arianna Pavone , Caterina Viola

In many applications, it is necessary to determine the string similarity. Edit distance[WF74] approach is a classic method to determine Field Similarity. A well known dynamic programming algorithm [GUS97] is used to calculate edit distance…

Data Structures and Algorithms · Computer Science 2007-05-23 Qi Xiao Yang , Sung Sam Yuan , Lu Chun , Li Zhao , Sun Peng

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

A string matching -- and more generally, sequence matching -- algorithm is presented that has a linear worst-case computing time bound, a low worst-case bound on the number of comparisons (2n), and sublinear average-case behavior that is…

Data Structures and Algorithms · Computer Science 2008-10-02 David R. Musser , Gor V. Nishanov

String-averaging is an algorithmic structure used when handling a family of operators in situations where the algorithm at hand requires to employ the operators in a specific order. Sequential orderings are well-known and a simultaneous…

Functional Analysis · Mathematics 2021-03-17 Yair Censor , Ariel Nisenbaum

The problem of finding a center string that is `close' to every given string arises and has many applications in computational biology and coding theory. This problem has two versions: the Closest String problem and the Closest Substring…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Ming Li , Bin Ma , Lusheng Wang

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 approximate string matching is a fundamental and recurrent problem that arises in most computer science fields. This problem can be defined as follows: Let $D=\{x_1,x_2,\ldots x_d\}$ be a set of $d$ words defined on an alphabet…

Data Structures and Algorithms · Computer Science 2017-01-31 Ibrahim Chegrane

Summary: The Smith Waterman (SW) algorithm, which produces the optimal pairwise alignment between two sequences, is frequently used as a key component of fast heuristic read mapping and variation detection tools, but current implementations…

Genomics · Quantitative Biology 2014-03-05 Mengyao Zhao , Wan-Ping Lee , Erik Garrison , Gabor T. Marth

The Closest String Problem is an NP-hard problem that aims to find a string that has the minimum distance from all sequences that belong to the given set of strings. Its applications can be found in coding theory, computational biology, and…

Artificial Intelligence · Computer Science 2024-07-19 Alireza Abdi , Marko Djukanovic , Hesam Tahmasebi Boldaji , Hadis Salehi , Aleksandar Kartelj

As an essential operation in data cleaning, the similarity join has attracted considerable attention from the database community. In this paper, we study string similarity joins with edit-distance constraints, which find similar string…

Databases · Computer Science 2011-12-01 Guoliang Li , Dong Deng , Jiannan Wang , Jianhua Feng

We study the classical approximate string matching problem, that is, given strings $P$ and $Q$ and an error threshold $k$, find all ending positions of substrings of $Q$ whose edit distance to $P$ is at most $k$. Let $P$ and $Q$ have…

Data Structures and Algorithms · Computer Science 2011-03-21 Philip Bille

Computing string or sequence alignments is a classical method of comparing strings and has applications in many areas of computing, such as signal processing and bioinformatics. Semi-local string alignment is a recent generalisation of this…

Data Structures and Algorithms · Computer Science 2009-03-23 Peter Krusche , Alexander Tiskin

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

Here we study the complexity of string problems as a function of the size of a program that generates input. We consider straight-line programs (SLP), since all algorithms on SLP-generated strings could be applied to processing…

Data Structures and Algorithms · Computer Science 2007-05-23 Yury Lifshits

We study the problem of computing similarity joins under edit distance on a set of strings. Edit similarity joins is a fundamental problem in databases, data mining and bioinformatics. It finds important applications in data cleaning and…

Databases · Computer Science 2019-05-30 Haoyu Zhang , Qin Zhang

Classic similarity measures of strings are longest common subsequence and Levenshtein distance (i.e., the classic edit distance). A classic similarity measure of curves is dynamic time warping. These measures can be computed by simple…

Computational Complexity · Computer Science 2015-04-06 Karl Bringmann , Marvin Künnemann

We report (to our knowledge) the first evaluation of Constraint Satisfaction as a computational framework for solving closest string problems. We show that careful consideration of symbol occurrences can provide search heuristics that…

Artificial Intelligence · Computer Science 2010-05-04 Tom Kelsey , Lars Kotthoff
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