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Related papers: Merging RLBWTs adaptively

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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…

Data Structures and Algorithms · Computer Science 2017-10-17 Tatsuya Ohno , Yoshimasa Takabatake , Tomohiro I , Hiroshi Sakamoto

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…

Data Structures and Algorithms · Computer Science 2017-02-07 Alberto Policriti , Nicola Prezza

The compression of highly repetitive strings (i.e., strings with many repetitions) has been a central research topic in string processing, and quite a few compression methods for these strings have been proposed thus far. Among them, an…

Data Structures and Algorithms · Computer Science 2022-02-17 Takaaki Nishimoto , Shunsuke Kanda , Yasuo Tabei

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…

Discrete Mathematics · Computer Science 2024-11-19 Hideo Bannai , Tomohiro I , Yuto Nakashima

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…

Data Structures and Algorithms · Computer Science 2019-01-23 Nicola Prezza , Giovanna Rosone

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…

Data Structures and Algorithms · Computer Science 2021-04-13 Dominik Kempa , Tomasz Kociumaka

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

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 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…

Data Structures and Algorithms · Computer Science 2025-06-06 Florian Ingels , Anaïs Denis , Bastien Cazaux

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…

Data Structures and Algorithms · Computer Science 2020-04-28 Dominik Köppl , Daiki Hashimoto , Diptarama Hendrian , Ayumi Shinohara

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

In this paper we propose a flexible and lightweight technique for merging compressed indices based on variants of Burrows-Wheeler transform (BWT), thus addressing the need for algorithms that compute compressed indices over large…

Data Structures and Algorithms · Computer Science 2019-03-06 Lavinia Egidi , Giovanni Manzini

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…

Data Structures and Algorithms · Computer Science 2021-04-23 Hideo Bannai , Juha Kärkkäinen , Dominik Köppl , Marcin Picatkowski

The Burrows-Wheeler-Transform (BWT) is an invertible permutation of a text known to be highly compressible but also useful for sequence analysis, what makes the BWT highly attractive for lossless data compression. In this paper, we present…

Data Structures and Algorithms · Computer Science 2018-04-06 Uwe Baier

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

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…

Discrete Mathematics · Computer Science 2025-09-18 Lily Major , Amanda Clare , Jacqueline W. Daykin , Benjamin Mora , Christine Zarges

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

Recently, Holt and McMillan [Bionformatics 2014, ACM-BCB 2014] have proposed a simple and elegant algorithm to merge the Burrows-Wheeler transforms of a family of strings. In this paper we show that the H&M algorithm can be improved so…

Data Structures and Algorithms · Computer Science 2016-09-16 Giovanni Manzini

Until recently, most experts would probably have agreed we cannot backwards-step in constant time with a run-length compressed Burrows-Wheeler Transform (RLBWT), since doing so relies on rank queries on sparse bitvectors and those inherit…

Data Structures and Algorithms · Computer Science 2022-07-15 Nathaniel K. Brown , Travis Gagie , Massimiliano Rossi

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…

Data Structures and Algorithms · Computer Science 2025-05-12 Shogen Kawanami , Kento Iseri , Tomohiro I
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