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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 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

The Burrows-Wheeler Transform (BWT) is a fundamental component in many data structures for text indexing and compression, widely used in areas such as bioinformatics and information retrieval. The extended BWT (eBWT) generalizes the…

数据结构与算法 · 计算机科学 2025-06-06 Florian Ingels , Anaïs Denis , Bastien Cazaux

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…

数据结构与算法 · 计算机科学 2024-04-16 Sara Giuliani , Shunsuke Inenaga , Zsuzsanna Lipták , Nicola Prezza , Marinella Sciortino , Anna Toffanello

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

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

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

We prove that for every integer $n > 0$ and for every alphabet $\Sigma_k$ of size $k \geq 3$, there exists a necklace of length $n$ whose Burrows-Wheeler Transform (BWT) is completely unclustered, i.e., it consists of exactly $n$ runs with…

离散数学 · 计算机科学 2025-08-29 Gabriele Fici , Estéban Gabory , Giuseppe Romana , Marinella Sciortino

The Burrows-Wheeler Transform (BWT) serves as the basis for many important sequence indexes. On very large datasets (e.g. genomic databases), classical BWT construction algorithms are often infeasible because they usually need to have the…

数据结构与算法 · 计算机科学 2025-09-24 Jannik Olbrich

The Burrows-Wheeler transform (BWT) is a permutation whose applications are prevalent in data compression and text indexing. The bijective BWT (BBWT) is a bijective variant of it. Although it is known that the BWT can be constructed in…

数据结构与算法 · 计算机科学 2021-04-23 Hideo Bannai , Juha Kärkkäinen , Dominik Köppl , Marcin Picatkowski

One of the most well-known variants of the Burrows-Wheeler transform (BWT) [Burrows and Wheeler, 1994] is the bijective BWT (BBWT) [Gil and Scott, arXiv 2012], which applies the extended BWT (EBWT) [Mantaci et al., TCS 2007] to the multiset…

数据结构与算法 · 计算机科学 2020-04-28 Dominik Köppl , Daiki Hashimoto , Diptarama Hendrian , Ayumi Shinohara

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…

数据结构与算法 · 计算机科学 2020-09-10 Felipe A. Louza , Guilherme P. Telles , Simon Gog , Liang Zhao

We investigate properties of the bijective Burrows-Wheeler transform (BBWT). We show that for any string $w$, a bidirectional macro scheme of size $O(r_B)$ can be induced from the BBWT of $w$, where $r_B$ is the number of maximal character…

数据结构与算法 · 计算机科学 2024-08-20 Golnaz Badkobeh , Hideo Bannai , Dominik Köppl

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 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 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

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

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 Lempel-Ziv factorization (LZ77) and the Run-Length encoded Burrows-Wheeler Transform (RLBWT) are two important tools in text compression and indexing, being their sizes $z$ and $r$ closely related to the amount of text…

数据结构与算法 · 计算机科学 2017-02-07 Alberto Policriti , Nicola Prezza
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