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A deterministic BSP algorithm for constructing the suffix array of a given string is presented, based on a technique which we call accelerated sampling. It runs in optimal O(n/p) local computation and communication, and requires a near…

分布式、并行与集群计算 · 计算机科学 2013-02-26 Matthew Felice Pace , Alexander Tiskin

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

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

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

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…

数据结构与算法 · 计算机科学 2021-04-19 Takaaki Nishimoto , Yasuo Tabei

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

The run-length compressed Burrows-Wheeler transform (RLBWT) used in conjunction with the backward search introduced in the FM index is the centerpiece of most compressed indexes working on highly-repetitive data sets like biological…

数据结构与算法 · 计算机科学 2021-10-05 Jin Jie Deng , Wing-Kai Hon , Dominik Köppl , Kunihiko Sadakane

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

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

Parameterized strings are a generalization of strings in that their characters are drawn from two different alphabets, where one is considered to be the alphabet of static characters and the other to be the alphabet of parameter characters.…

数据结构与算法 · 计算机科学 2022-09-01 Daiki Hashimoto , Diptarama Hendrian , Dominik Köppl , Ryo Yoshinaka , Ayumi Shinohara

Recently, Conte et al. generalized the longest-common prefix (LCP) array from strings to Wheeler DFAs, and they showed that it can be used to efficiently determine matching statistics on a Wheeler DFA [DCC 2023]. However, storing the LCP…

数据结构与算法 · 计算机科学 2024-08-20 Nicola Cotumaccio , Travis Gagie , Dominik Köppl , Nicola Prezza

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

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

We discuss how string sorting algorithms can be parallelized on modern multi-core shared memory machines. As a synthesis of the best sequential string sorting algorithms and successful parallel sorting algorithms for atomic objects, we…

数据结构与算法 · 计算机科学 2014-03-11 Timo Bingmann , Andreas Eberle , Peter Sanders

We show how to modify the linear-time construction algorithm for suffix arrays based on induced sorting (Nong et al., DCC'09) such that it computes the array of longest common prefixes (LCP-array) as well. Practical tests show that this…

数据结构与算法 · 计算机科学 2011-01-19 Johannes Fischer

The notions of synchronizing and partitioning sets are recently introduced variants of locally consistent parsings with great potential in problem-solving. In this paper we propose a deterministic algorithm that constructs for a given…

数据结构与算法 · 计算机科学 2024-04-23 Dmitry Kosolobov , Nikita Sivukhin

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 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

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