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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

The Positional Burrows-Wheeler Transform (PBWT) is a fundamental data structure for the efficient representation and analysis of large-scale haplotype panels. For a panel of $h$ sequences $\{S_1, \dots, S_h\}$ over $m$ sites, a key…

数据结构与算法 · 计算机科学 2026-05-07 Paola Bonizzoni , Travis Gagie , Younan Gao

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…

数据结构与算法 · 计算机科学 2022-08-23 Travis Gagie , Giovanni Manzini , Marinella Sciortino

The Burrows-Wheeler Transform (BWT) of a string is an invertible permutation of the string, which can be used for data compression and compact indexes for string pattern matching. Ganguly et al. [SODA, 2017] introduced the parameterized BWT…

数据结构与算法 · 计算机科学 2025-05-12 Shogen Kawanami , Kento Iseri , Tomohiro I

It is known that the exact form of the Burrows-Wheeler-Transform (BWT) of a string collection depends, in most implementations, on the input order of the strings in the collection. Reordering strings of an input collection affects the…

数据结构与算法 · 计算机科学 2022-12-05 Davide Cenzato , Veronica Guerrini , Zsuzsanna Lipták , Giovanna Rosone

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…

人机交互 · 计算机科学 2024-02-28 Lily Major , Dave Davies , Amanda Clare , Jacqueline W. Daykin , Benjamin Mora , Christine Zarges

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

The Burrows-Wheeler Transform (BWT) is a string transformation technique widely used in areas such as bioinformatics and file compression. Many applications combine a run-length encoding (RLE) with the BWT in a way which preserves the…

离散数学 · 计算机科学 2025-09-18 Lily Major , Amanda Clare , Jacqueline W. Daykin , Benjamin Mora , Christine Zarges

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…

数据结构与算法 · 计算机科学 2020-02-19 Jason Bentley , Daniel Gibney , Sharma V. Thankachan

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…

数据结构与算法 · 计算机科学 2020-12-09 Dominik Kempa , Tomasz Kociumaka

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

We show how to build several data structures of central importance to string processing, taking as input the Burrows-Wheeler transform (BWT) and using small extra working space. Let $n$ be the text length and $\sigma$ be the alphabet size.…

数据结构与算法 · 计算机科学 2019-08-14 Nicola Prezza , Giovanna Rosone

The Burrows-Wheeler Transform (BWT) is a word transformation introduced in 1994 for Data Compression. It has become a fundamental tool for designing self-indexing data structures, with important applications in several area in science and…

数据结构与算法 · 计算机科学 2019-07-05 Raffaele Giancarlo , Giovanni Manzini , Antonio Restivo , Giovanna Rosone , Marinella Sciortino

The Burrows-Wheeler Transform (BWT) is an invertible text transformation that permutes symbols of a text according to the lexicographical order of its suffixes. BWT is the main component of popular lossless compression programs (such as…

数据结构与算法 · 计算机科学 2021-04-13 Dominik Kempa , Tomasz Kociumaka

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

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…

数据结构与算法 · 计算机科学 2023-05-09 Raffaele Giancarlo , Giovanni Manzini , Antonio Restivo , Giovanna Rosone , Marinella Sciortino

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…

数据结构与算法 · 计算机科学 2018-12-06 Sandip Sinha , Omri Weinstein

We show that the Longest Common Prefix Array of a text collection of total size n on alphabet [1, {\sigma}] can be computed from the Burrows-Wheeler transformed collection in O(n log {\sigma}) time using o(n log {\sigma}) bits of working…

数据结构与算法 · 计算机科学 2019-01-23 Nicola Prezza , Giovanna Rosone

Indexing of very large collections of strings such as those produced by the widespread sequencing technologies, heavily relies on multi-string generalizations of the Burrows-Wheeler Transform (BWT), and for this problem various in-memory…

数据结构与算法 · 计算机科学 2016-07-29 Paola Bonizzoni , Gianluca Della Vedova , Serena Nicosia , Marco Previtali , Raffaella Rizzi

When building Burrows-Wheeler Transforms (BWTs) of truly huge datasets, prefix-free parsing (PFP) can use an unreasonable amount of memory. In this paper we show how if a dataset can be broken down into small datasets that are not very…

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