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Detecting all the strings that occur in a text more frequently or less frequently than expected according to an IID or a Markov model is a basic problem in string mining, yet current algorithms are based on data structures that are either…

Data Structures and Algorithms · Computer Science 2015-08-13 Djamal Belazzougui , Fabio Cunial

The Burrows-Wheeler Transform is a string transformation that plays a fundamental role for the design of self-indexing compressed data structures. Over the years, researchers have successfully extended this transformation outside the…

Data Structures and Algorithms · Computer Science 2019-02-05 Raffaele Giancarlo , Giovanni Manzini , Giovanna Rosone , Marinella Sciortino

Introduced about thirty years ago in the field of Data Compression, the Burrows-Wheeler Transform (BWT) is a string transformation that, besides being a booster of the performance of memoryless compressors, plays a fundamental role in the…

Data Structures and Algorithms · Computer Science 2023-05-09 Raffaele Giancarlo , Giovanni Manzini , Antonio Restivo , Giovanna Rosone , Marinella Sciortino

Cartesian tree matching is a form of generalized pattern matching where a substring of the text matches with the pattern if they share the same Cartesian tree. This form of matching finds application for time series of stock prices and can…

Data Structures and Algorithms · Computer Science 2024-11-20 Eric M. Osterkamp , Dominik Köppl

Burrows-Wheeler transform (BWT) is an invertible text transformation that, given a text $T$ of length $n$, permutes its symbols according to the lexicographic order of suffixes of $T$. BWT is one of the most heavily studied algorithms in…

Data Structures and Algorithms · Computer Science 2020-12-09 Dominik Kempa , Tomasz Kociumaka

The recently introduced class of Wheeler graphs, inspired by the Burrows-Wheeler Transform (BWT) of a given string, admits an efficient index data structure for searching for subpaths with a given path label, and lifts the applicability of…

Formal Languages and Automata Theory · Computer Science 2020-02-25 Jarno Alanko , Giovanna D'Agostino , Alberto Policriti , Nicola Prezza

Indexing highly repetitive strings (i.e., strings with many repetitions) for fast queries has become a central research topic in string processing, because it has a wide variety of applications in bioinformatics and natural language…

Data Structures and Algorithms · Computer Science 2021-04-19 Takaaki Nishimoto , Yasuo Tabei

The field of succinct data structures has flourished over the last 16 years. Starting from the compressed suffix array (CSA) by Grossi and Vitter (STOC 2000) and the FM-index by Ferragina and Manzini (FOCS 2000), a number of generalizations…

Data Structures and Algorithms · Computer Science 2016-09-22 Djamal Belazzougui , Fabio Cunial , Juha Kärkkäinen , Veli Mäkinen

We propose algorithms that, given the input string of length $n$ over integer alphabet of size $\sigma$, construct the Burrows-Wheeler transform (BWT), the permuted longest-common-prefix (PLCP) array, and the LZ77 parsing in…

Data Structures and Algorithms · Computer Science 2020-12-09 Dominik Kempa

The Burrows-Wheeler transform (BWT) is a well studied text transformation widely used in data compression and text indexing. The BWT of two strings can also provide similarity measures between them, based on the observation that the more…

Data Structures and Algorithms · Computer Science 2020-09-10 Felipe A. Louza , Guilherme P. Telles , Simon Gog , Liang Zhao

The Burrows-Wheeler Transform (BWT) is often taught in undergraduate courses on algorithmic bioinformatics, because it underlies the FM-index and thus important tools such as Bowtie and BWA. Its admirers consider the BWT a thing of beauty…

Data Structures and Algorithms · Computer Science 2022-08-23 Travis Gagie , Giovanni Manzini , Marinella Sciortino

Given a string of characters, the Burrows-Wheeler Transform rearranges the characters in it so as to produce another string of the same length which is more amenable to compression techniques such as move to front, run-length encoding, and…

Data Structures and Algorithms · Computer Science 2012-01-17 Joseph Yossi Gil , David Allen Scott

Indexing highly repetitive texts - such as genomic databases, software repositories and versioned text collections - has become an important problem since the turn of the millennium. A relevant compressibility measure for repetitive texts…

Data Structures and Algorithms · Computer Science 2020-12-17 Travis Gagie , Gonzalo Navarro , Nicola Prezza

The Burrows-Wheeler Transform (BWT) is an important technique both in data compression and in the design of compact indexing data structures. It has been generalized from single strings to collections of strings and some classes of labeled…

Data Structures and Algorithms · Computer Science 2019-05-30 Jarno Alanko , Travis Gagie , Gonzalo Navarro , Louisa Seelbach Benkner

The Burrows-Wheeler Transform (BWT) is among the most influential discoveries in text compression and DNA storage. It is a reversible preprocessing step that rearranges an $n$-letter string into runs of identical characters (by exploiting…

Data Structures and Algorithms · Computer Science 2018-12-06 Sandip Sinha , Omri Weinstein

The Burrows-Wheeler-Transform (BWT), a reversible string transformation, is one of the fundamental components of many current data structures in string processing. It is central in data compression, as well as in efficient query algorithms…

Data Structures and Algorithms · Computer Science 2024-04-16 Sara Giuliani , Shunsuke Inenaga , Zsuzsanna Lipták , Nicola Prezza , Marinella Sciortino , Anna Toffanello

The Burrows-Wheeler-Transform (BWT) is a reversible string transformation which plays a central role in text compression and is fundamental in many modern bioinformatics applications. The BWT is a permutation of the characters, which is in…

Data Structures and Algorithms · Computer Science 2021-03-15 Sara Giuliani , Zsuzsanna Lipták , Francesco Masillo , Romeo Rizzi

Ordering the collection of states of a given automaton starting from an order of the underlying alphabet is a natural move towards a computational treatment of the language accepted by the automaton. Along this path, Wheeler \emph{graphs}…

Formal Languages and Automata Theory · Computer Science 2021-06-14 Giovanna D'Agostino , Davide Martincigh , Alberto Policriti

The Burrows-Wheeler Transform (BWT) has been an essential tool in text compression and indexing. First introduced in 1994, it went on to provide the backbone for the first encoding of the classic suffix tree data structure in space close to…

Data Structures and Algorithms · Computer Science 2020-02-19 Jason Bentley , Daniel Gibney , Sharma V. Thankachan

The Burrows-Wheeler Transform (BWT) is an efficient invertible text transformation algorithm with the properties of tending to group identical characters together in a run, and enabling search of the text. This transformation has extensive…

Human-Computer Interaction · Computer Science 2024-02-28 Lily Major , Dave Davies , Amanda Clare , Jacqueline W. Daykin , Benjamin Mora , Christine Zarges
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