English
Related papers

Related papers: Computing the optimal BWT of very large string col…

200 papers

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…

Data Structures and Algorithms · Computer Science 2026-02-20 Diego Díaz-Domínguez , Veli Mäkinen

The Burrows-Wheeler Transform (BWT) is an important technique both in data compression and in the design of compact indexing data structures. It has been generalized from single strings to collections of strings and some classes of labeled…

Data Structures and Algorithms · Computer Science 2019-05-30 Jarno Alanko , Travis Gagie , Gonzalo Navarro , Louisa Seelbach Benkner

Indexing highly repetitive texts --- such as genomic databases, software repositories and versioned text collections --- has become an important problem since the turn of the millennium. A relevant compressibility measure for repetitive…

Data Structures and Algorithms · Computer Science 2017-07-13 Travis Gagie , Gonzalo Navarro , Nicola Prezza

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…

Data Structures and Algorithms · Computer Science 2020-12-18 Nicola Prezza

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…

Data Structures and Algorithms · Computer Science 2026-04-16 Travis Gagie

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…

Data Structures and Algorithms · Computer Science 2019-03-06 Lavinia Egidi , Giovanni Manzini

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.…

Genomics · Quantitative Biology 2021-02-10 Diego Diaz-Dominguez annd Gonzalo Navarro

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…

Data Structures and Algorithms · Computer Science 2017-02-07 Alberto Policriti , Nicola Prezza

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…

Data Structures and Algorithms · Computer Science 2026-02-17 Hideo Bannai , Yuto Fujie , Peaker Guo , Shunsuke Inenaga , Yuto Nakashima , Simon J. Puglisi , Cristian Urbina

Some recent results have introduced external-memory algorithms to compute self-indexes of a set of strings, mainly via computing the Burrows-Wheeler Transform (BWT) of the input strings. The motivations for those results stem from…

Data Structures and Algorithms · Computer Science 2015-06-12 Paola Bonizzoni , Gianluca Della Vedova , Yuri Pirola , Marco Previtali , Raffaella Rizzi

Until recently, most experts would probably have agreed we cannot backwards-step in constant time with a run-length compressed Burrows-Wheeler Transform (RLBWT), since doing so relies on rank queries on sparse bitvectors and those inherit…

Data Structures and Algorithms · Computer Science 2022-07-15 Nathaniel K. Brown , Travis Gagie , Massimiliano Rossi

Compression algorithms and streaming algorithms are both powerful tools for dealing with massive data sets, but many of the best compression algorithms -- e.g., those based on the Burrows-Wheeler Transform -- at first seem incompatible with…

Information Theory · Computer Science 2008-04-19 Travis Gagie

Indexing highly repetitive texts - such as genomic databases, software repositories and versioned text collections - has become an important problem since the turn of the millennium. A relevant compressibility measure for repetitive texts…

Data Structures and Algorithms · Computer Science 2020-12-17 Travis Gagie , Gonzalo Navarro , Nicola Prezza

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…

Data Structures and Algorithms · Computer Science 2025-05-22 Ahsan Sanaullah , Degui Zhi , Shaojie Zhang

There are currently plenty of programs available for mapping short sequences (reads) to a genome. Most of them, however, including such popular and actively developed programs as Bowtie, BWA, TopHat and many others, are based on…

Genomics · Quantitative Biology 2019-08-06 Igor Seledtsov , Jaroslav Efremov , Vladimir Molodtsov , Victor Solovyev

Nishimoto and Tabei [CPM, 2021] proposed r-enum, an algorithm to enumerate various characteristic substrings, including maximal repeats, in a string $T$ of length $n$ in $O(r)$ words of compressed working space, where $r \le n$ is the…

Data Structures and Algorithms · Computer Science 2026-01-27 Kotaro Kimura , Tomohiro I

While short read aligners, which predominantly use the FM-index, are able to easily index one or a few human genomes, they do not scale well to indexing databases containing thousands of genomes. To understand why, it helps to examine the…

Data Structures and Algorithms · Computer Science 2018-11-19 Alan Kuhnle , Taher Mun , Christina Boucher , Travis Gagie , Ben Langmead , Giovanni Manzini

The longest common prefix array is a very advantageous data structure that, combined with the suffix array and the Burrows-Wheeler transform, allows to efficiently compute some combinatorial properties of a string useful in several…

Data Structures and Algorithms · Computer Science 2016-05-16 Anthony J. Cox , Fabio Garofalo , Giovanna Rosone , Marinella Sciortino

We present a new scalable, lightweight algorithm to incrementally construct the BWT and FM-index of large string sets such as those produced by Next Generation Sequencing. The algorithm is designed for massive parallelism and can…

Data Structures and Algorithms · Computer Science 2014-10-03 Jacopo Pantaleoni

Given a string $T$ on an alphabet of size $\sigma$, we describe a bidirectional Burrows-Wheeler index that takes $O(|T|\log{\sigma})$ bits of space, and that supports the addition \emph{and removal} of one character, on the left or right…

Data Structures and Algorithms · Computer Science 2019-06-11 Fabio Cunial , Djamal Belazzougui