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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

The rise of repetitive datasets has lately generated a lot of interest in compressed self-indexes based on dictionary compression, a rich and heterogeneous family that exploits text repetitions in different ways. For each such compression…

数据结构与算法 · 计算机科学 2020-12-17 Gonzalo Navarro , Nicola Prezza

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…

数据结构与算法 · 计算机科学 2015-08-13 Djamal Belazzougui , Fabio Cunial

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

Compressed suffix arrays (CSAs) index large repetitive collections and are key in many text applications. The r-index and its derivatives combine the run-length Burrows-Wheeler Transform (BWT) with suffix array sampling to achieve space…

数据结构与算法 · 计算机科学 2026-02-20 Diego Díaz-Domínguez , Veli Mäkinen

We show how to merge two run-length compressed Burrows-Wheeler Transforms (RLBWTs) into a run-length compressed extended Burrows-Wheeler Transform (eBWT) in $O (r)$ space and $O ((r + L) \log (m + n))$ time, where $m$ and $n$ are the…

数据结构与算法 · 计算机科学 2026-04-16 Travis Gagie

A longest repeat query on a string, motivated by its applications in many subfields including computational biology, asks for the longest repetitive substring(s) covering a particular string position (point query). In this paper, we extend…

数据结构与算法 · 计算机科学 2015-11-10 Bojian Xu

In this work, we study the limits of compressed data structures, i.e., structures that support various queries on an input text $T\in\Sigma^n$ using space proportional to the size of $T$ in compressed form. Nearly all fundamental queries…

数据结构与算法 · 计算机科学 2025-10-23 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…

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

Motivation: Burrows-Wheeler Transform (BWT) is a common component in full-text indices. Initially developed for data compression, it is particularly powerful for encoding redundant sequences such as pangenome data. However, BWT construction…

基因组学 · 定量生物学 2025-09-10 Heng Li

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

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 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…

数据结构与算法 · 计算机科学 2021-03-15 Sara Giuliani , Zsuzsanna Lipták , Francesco Masillo , Romeo Rizzi

Large-alphabet strings are common in scenarios such as information retrieval and natural-language processing. The efficient storage and processing of such strings usually introduces several challenges that are not witnessed in…

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

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

Consider an input text string T[1,N] drawn from an unbounded alphabet. We study partial computation in suffix-based problems for Data Compression and Text Indexing such as (I) retrieve any segment of K<=N consecutive symbols from the…

数据结构与算法 · 计算机科学 2011-10-18 Gianni Franceschini , Roberto Grossi , S. Muthukrishnan

Compressed indexing is a powerful technique that enables efficient querying over data stored in compressed form, significantly reducing memory usage and often accelerating computation. While extensive progress has been made for…

数据结构与算法 · 计算机科学 2025-10-23 Rajat De , Dominik Kempa

The $r$-index (Gagie et al., JACM 2020) represented a breakthrough in compressed indexing of repetitive text collections, outperforming its alternatives by orders of magnitude. Its space usage, $\mathcal{O}(r)$ where $r$ is the number of…

数据结构与算法 · 计算机科学 2021-03-30 Dustin Cobas , Travis Gagie , Gonzalo Navarro