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The Burrows-Wheeler transform (BWT) is integral to the FM-index, which is used extensively in text compression, indexing, pattern search, and bioinformatic problems as de novo assembly and read alignment. Thus, efficient construction of the…

数据结构与算法 · 计算机科学 2025-02-04 Enno Adler , Stefan Böttcher , Rita Hartel , Cederic Alexander Steininger

Due to the exponential growth of genomic data, constructing dedicated data structures has become the principal bottleneck in common bioinformatics applications. In particular, the Burrows-Wheeler Transform (BWT) is the basis of some of the…

数据结构与算法 · 计算机科学 2023-05-15 Francesco Masillo

Motivation The Burrows-Wheeler transform (BWT) is the foundation of many algorithms for compression and indexing of text data, but the cost of computing the BWT of very large string collections has prevented these techniques from being…

数据结构与算法 · 计算机科学 2015-03-20 Anthony J. Cox , Markus J. Bauer , Tobias Jakobi , Giovanna Rosone

Parameterized strings are a generalization of strings in that their characters are drawn from two different alphabets, where one is considered to be the alphabet of static characters and the other to be the alphabet of parameter characters.…

数据结构与算法 · 计算机科学 2022-09-01 Daiki Hashimoto , Diptarama Hendrian , Dominik Köppl , Ryo Yoshinaka , Ayumi Shinohara

In recent years, the focus of bioinformatics research has moved from individual sequences to collections of sequences. Given the fundamental role of the Burrows-Wheeler Transform (BWT) in string processing, a number of dedicated tools have…

数据结构与算法 · 计算机科学 2025-05-28 Davide Cenzato , Zsuzsanna Lipták

The Burrows-Wheeler transform (BWT) is a reversible transform that converts a string $w$ into another string $\mathsf{BWT}(w)$. The size of the run-length encoded BWT (RLBWT) can be interpreted as a measure of repetitiveness in the class of…

离散数学 · 计算机科学 2024-11-19 Hideo Bannai , Tomohiro I , Yuto Nakashima

The Burrows-Wheeler transform (BWT) is used by the bzip2 family of compressors. In this paper, we present a hardware architecture that implements an inplace algorithm to compute the BWT. Our design does not have explicit storage for the…

信号处理 · 电气工程与系统科学 2022-09-07 Kleber Stangherlin , Andrew Kennings

The Burrows-Wheeler transform (BWT) is a string transformation that enhances string indexing and compressibility. Cotumaccio and Prezza [SODA '21] extended this transformation to nondeterministic finite automata (NFAs) through…

数据结构与算法 · 计算机科学 2025-03-11 Ruben Becker , Nicola Cotumaccio , Sung-Hwan Kim , Nicola Prezza , Carlo Tosoni

Run-length encoding Burrows-Wheeler Transformed strings, resulting in Run-Length BWT (RLBWT), is a powerful tool for processing highly repetitive strings. We propose a new algorithm for online RLBWT working in run-compressed space, which…

数据结构与算法 · 计算机科学 2017-10-17 Tatsuya Ohno , Yoshimasa Takabatake , Tomohiro I , Hiroshi Sakamoto

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…

数据结构与算法 · 计算机科学 2019-05-30 Jarno Alanko , Travis Gagie , Gonzalo Navarro , Louisa Seelbach Benkner

Popular sequence alignment tools such as BWA convert a reference genome to an indexing data structure based on the Burrows-Wheeler Transform (BWT), from which matches to individual query sequences can be rapidly determined. However the…

基因组学 · 定量生物学 2013-04-23 Anthony J. Cox , Tobias Jakobi , Giovanna Rosone , Ole B. Schulz-Trieglaff

The sort transform (ST) is a modification of the Burrows-Wheeler transform (BWT). Both transformations map an arbitrary word of length n to a pair consisting of a word of length n and an index between 1 and n. The BWT sorts all rotation…

数据结构与算法 · 计算机科学 2009-08-04 Manfred Kufleitner

We study how the application of injective morphisms affects the number $r$ of equal-letter runs in the Burrows-Wheeler Transform (BWT). This parameter has emerged as a key repetitiveness measure in compressed indexing. We focus on the…

形式语言与自动机理论 · 计算机科学 2025-04-25 Gabriele Fici , Giuseppe Romana , Marinella Sciortino , Cristian Urbina

The boom of genomic sequencing makes compression of set of sequences inescapable. This underlies the need for multi-string indexing data structures that helps compressing the data. The most prominent example of such data structures is the…

数据结构与算法 · 计算机科学 2021-11-18 Bastien Cazaux , Eric Rivals

We present a new semi-external algorithm that builds the Burrows--Wheeler transform variant of Bauer et al. (a.k.a., BCR BWT) in linear expected time. Our method uses compression techniques to reduce computational costs when the input is…

数据结构与算法 · 计算机科学 2023-08-15 Diego Díaz-Domínguez , Gonzalo Navarro

In this paper we study the number $r_{bwt}$ of equal-letter runs produced by the Burrows-Wheeler transform ($BWT$) when it is applied to purely morphic finite words, which are words generated by iterating prolongable morphisms. Such a…

形式语言与自动机理论 · 计算机科学 2022-02-08 Andrea Frosini , Ilaria Mancini , Simone Rinaldi , Giuseppe Romana , 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…

数据结构与算法 · 计算机科学 2012-01-17 Joseph Yossi Gil , David Allen Scott

The Positional Burrows--Wheeler Transform (PBWT) is a data structure designed for efficiently representing and querying large collections of sequences, such as haplotype panels in genomics. Forward and backward stepping operations --…

数据结构与算法 · 计算机科学 2026-02-17 Paola Bonizzoni , Davide Cozzi , Younan Gao

In 1994, Burrows and Wheeler developed a data compression algorithm which performs significantly better than Lempel-Ziv based algorithms. Since then, a lot of work has been done in order to improve their algorithm, which is based on a…

数据结构与算法 · 计算机科学 2007-05-23 Dragos Trinca

In this article we extend the elegant in-place Burrows-Wheeler transform (BWT) algorithm proposed by Crochemore et al. (Crochemore et al., 2015). Our extension is twofold: we first show how to compute simultaneously the longest common…

数据结构与算法 · 计算机科学 2018-06-08 Felipe A. Louza , Travis Gagie , Guilherme P. Telles