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The recently introduced class of Wheeler graphs, inspired by the Burrows-Wheeler Transform (BWT) of a given string, admits an efficient index data structure for searching for subpaths with a given path label, and lifts the applicability of…

形式语言与自动机理论 · 计算机科学 2020-02-25 Jarno Alanko , Giovanna D'Agostino , Alberto Policriti , Nicola Prezza

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…

数据结构与算法 · 计算机科学 2019-03-06 Lavinia Egidi , Giovanni Manzini

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

Constructing the Burrows-Wheeler transform (BWT) for long strings poses significant challenges regarding construction time and memory usage. We use a prefix of the suffix array to partition a long string into shorter substrings, thereby…

数据结构与算法 · 计算机科学 2025-05-15 Enno Adler , Stefan Böttcher , Rita Hartel

We investigate properties of the bijective Burrows-Wheeler transform (BBWT). We show that for any string $w$, a bidirectional macro scheme of size $O(r_B)$ can be induced from the BBWT of $w$, where $r_B$ is the number of maximal character…

数据结构与算法 · 计算机科学 2024-08-20 Golnaz Badkobeh , Hideo Bannai , Dominik Köppl

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

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

Advances in DNA sequencing technology have stimulated the development of algorithms and tools for processing very large collections of short strings (reads). Short-read alignment and assembly are among the most well-studied problems. Many…

基因组学 · 定量生物学 2014-01-30 Chi-Man Liu , Ruibang Luo , Tak-Wah Lam

Motivated by challenges in pangenomic read alignment, we propose a generalization of Wheeler graphs that we call Wheeler maps. A Wheeler map stores a text $T[1..n]$ and an assignment of tags to the characters of $T$ such that we can…

数据结构与算法 · 计算机科学 2023-08-22 Andrej Baláz , Travis Gagie , Adrián Goga , Simon Heumos , Gonzalo Navarro , Alessia Petescia , Jouni Sirén

Indexing of very large collections of strings such as those produced by the widespread sequencing technologies, heavily relies on multi-string generalizations of the Burrows-Wheeler Transform (BWT), and for this problem various in-memory…

数据结构与算法 · 计算机科学 2016-07-29 Paola Bonizzoni , Gianluca Della Vedova , Serena Nicosia , Marco Previtali , Raffaella Rizzi

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

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 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 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…

数据结构与算法 · 计算机科学 2022-02-17 Takaaki Nishimoto , Shunsuke Kanda , Yasuo Tabei

The FM-index is a well-known compressed full-text index, based on the Burrows-Wheeler transform (BWT). During a pattern search, the BWT sequence is accessed at "random" locations, which is cache-unfriendly. In this paper, we are interested…

数据结构与算法 · 计算机科学 2015-12-08 Szymon Grabowski , Aleksander Cisłak

A weight based dynamic compression method has recently been proposed, which is especially suitable for the encoding of files with locally skewed distributions. Its main idea is to assign larger weights to closer to be encoded symbols by…

数据结构与算法 · 计算机科学 2021-05-24 Aharon Fruchtman , Yoav Gross , Shmuel T. Klein , Dana Shapira

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 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…

数据结构与算法 · 计算机科学 2017-02-07 Alberto Policriti , Nicola Prezza

We propose algorithms that, given the input string of length $n$ over integer alphabet of size $\sigma$, construct the Burrows-Wheeler transform (BWT), the permuted longest-common-prefix (PLCP) array, and the LZ77 parsing in…

数据结构与算法 · 计算机科学 2020-12-09 Dominik Kempa

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