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Prefix-free parsing (PFP) was introduced by Boucher et al. (2019) as a preprocessing step to ease the computation of Burrows-Wheeler Transforms (BWTs) of genomic databases. Given a string $S$, it produces a dictionary $D$ and a parse $P$ of…

数据结构与算法 · 计算机科学 2020-06-23 Christina Boucher , Ondřej Cvacho , Travis Gagie , Jan Holub , Giovanni Manzini , Gonzalo Navarro , Massimiliano Rossi

Matching statistics were introduced to solve the approximate string matching problem, which is a recurrent subroutine in bioinformatics applications. In 2010, Ohlebusch et al. [SPIRE 2010] proposed a time and space efficient algorithm for…

数据结构与算法 · 计算机科学 2023-01-16 Alessio Conte , Nicola Cotumaccio , Travis Gagie , Giovanni Manzini , Nicola Prezza , Marinella Sciortino

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 boom of genomic sequencing makes compression of set of sequences inescapable. This underlies the need for multi-string indexing data structures that helps compressing the data. The most prominent example of such data structures is the…

数据结构与算法 · 计算机科学 2021-11-18 Bastien Cazaux , Eric Rivals

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

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

Highly-repetitive collections of strings are increasingly being amassed by genome sequencing and genetic variation experiments, as well as by storing all versions of human-generated files, like webpages and source code. Existing indexes for…

数据结构与算法 · 计算机科学 2016-04-22 Djamal Belazzougui , Fabio Cunial , Travis Gagie , Nicola Prezza , Mathieu Raffinot

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

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

High-throughput sequencing technologies have led to explosive growth of genomic databases; one of which will soon reach hundreds of terabytes. For many applications we want to build and store indexes of these databases but constructing such…

数据结构与算法 · 计算机科学 2018-11-19 Christina Boucher , Travis Gagie , Alan Kuhnle , Ben Langmead , Giovanni Manzini , Taher Mun

For a partial word $w$ the longest common compatible prefix of two positions $i,j$, denoted $lccp(i,j)$, is the largest $k$ such that $w[i,i+k-1]\uparrow w[j,j+k-1]$, where $\uparrow$ is the compatibility relation of partial words (it is…

We first review how we can store a run-length compressed suffix array (RLCSA) for a text $T$ of length $n$ over an alphabet of size $\sigma$ whose Burrows-Wheeler Transform (BWT) consists of $r$ runs in $O \left( \rule{0ex}{2ex} r \log (n /…

数据结构与算法 · 计算机科学 2025-04-22 Nathaniel K. Brown , Travis Gagie , Giovanni Manzini , Gonzalo Navarro , Marinella Sciortino

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

In this paper we describe algorithms for computing the BWT and for building (compressed) indexes in external memory. The innovative feature of our algorithms is that they are lightweight in the sense that, for an input of size $n$, they use…

数据结构与算法 · 计算机科学 2009-09-25 Paolo Ferragina , Travis Gagie , Giovanni Manzini

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

Recently, Cenzato et al.\ proposed a new text index, called the \emph{suffixient array}, which is a subset of the suffix array and supports locating a single pattern occurrence or finding its maximal exact matches (MEMs), assuming random…

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

In this paper, we describe a new type of match between a pattern and a text that aren't necessarily maximal in the query, but still contain useful matching information: locally maximal exact matches (LEMs). There are usually a large amount…

数据结构与算法 · 计算机科学 2025-05-22 Ahsan Sanaullah , Degui Zhi , Shaojie Zhang

Enumerating characteristic substrings (e.g., maximal repeats, minimal unique substrings, and minimal absent words) in a given string has been an important research topic because there are a wide variety of applications in various areas such…

数据结构与算法 · 计算机科学 2021-03-03 Takaaki Nishimoto , Yasuo Tabei

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) 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