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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

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

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 field of succinct data structures has flourished over the last 16 years. Starting from the compressed suffix array (CSA) by Grossi and Vitter (STOC 2000) and the FM-index by Ferragina and Manzini (FOCS 2000), a number of generalizations…

数据结构与算法 · 计算机科学 2016-09-22 Djamal Belazzougui , Fabio Cunial , Juha Kärkkäinen , Veli Mäkinen

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

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…

In this paper, we consider the problem of compressing a trie while supporting the powerful \emph{locate} queries: to return the pre-order identifiers of all nodes reached by a path labeled with a given query pattern. Our result builds on…

数据结构与算法 · 计算机科学 2020-12-18 Nicola Prezza

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

Indexing very large collections of strings, such as those produced by the widespread next generation sequencing technologies, heavily relies on multistring generalization of the Burrows-Wheeler Transform (BWT): large requirements of…

数据结构与算法 · 计算机科学 2020-12-07 Paola Bonizzoni , Gianluca Della Vedova , Yuri Pirola , Marco Previtali , Raffaella Rizzi

In highly repetitive strings, like collections of genomes from the same species, distinct measures of repetition all grow sublinearly in the length of the text, and indexes targeted to such strings typically depend only on one of these…

数据结构与算法 · 计算机科学 2015-02-24 Djamal Belazzougui , Fabio Cunial , Travis Gagie , Nicola Prezza , Mathieu Raffinot

Long-term location tracking, where trajectory compression is commonly used, has gained high interest for many applications in transport, ecology, and wearable computing. However, state-of-the-art compression methods involve high space-time…

数据结构与算法 · 计算机科学 2014-12-09 Jiajun Liu , Kun Zhao , Philipp Sommer , Shuo Shang , Brano Kusy , Raja Jurdak

In this paper we show how to use one or more assembled or partially assembled genome as the basis for a compressed full-text index of its readset. Specifically, we build a labelled tree by taking the assembled genome as a trunk and grafting…

数据结构与算法 · 计算机科学 2021-06-02 Travis Gagie , Garance Gourdel , Giovanni Manzini

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

We present an algorithm for building the extended BWT (eBWT) of a string collection from its grammar-compressed representation. Our technique exploits the string repetitions captured by the grammar to boost the computation of the eBWT.…

基因组学 · 定量生物学 2021-02-10 Diego Diaz-Dominguez annd Gonzalo Navarro

In this paper we present an algorithm to compute the Lyndon array of a string $T$ of length $n$ as a byproduct of the inversion of the Burrows-Wheeler transform of $T$. Our algorithm runs in linear time using only a stack in addition to the…

数据结构与算法 · 计算机科学 2019-03-12 Felipe A. Louza , W. F. Smyth , Giovanni Manzini , Guilherme P. Telles

The Burrows Wheeler transform has applications in data compression as well as full text indexing. Despite its important applications and various existing algorithmic approaches the construction of the transform for large data sets is still…

数据结构与算法 · 计算机科学 2016-04-25 German Tischler

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

A degenerate or indeterminate string on an alphabet $\Sigma$ is a sequence of non-empty subsets of $\Sigma$. Given a degenerate string $t$ of length $n$, we present a new method based on the Burrows--Wheeler transform for searching for a…

We study the impact that string reversal can have on several repetitiveness measures. First, we exhibit an infinite family of strings where the number, $r$, of runs in the run-length encoding of the Burrows--Wheeler transform (BWT) can…

数据结构与算法 · 计算机科学 2026-02-17 Hideo Bannai , Yuto Fujie , Peaker Guo , Shunsuke Inenaga , Yuto Nakashima , Simon J. Puglisi , Cristian Urbina

The positional Burrows-Wheeler Transform (PBWT) is commonly used to store haplotype panels compactly in such a way that, given a query haplotype, we can quickly find the set maximal exact matches (SMEMs) between the query and the haplotypes…

数据结构与算法 · 计算机科学 2026-05-26 Travis Gagie