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相关论文: An Optimal-Time RLBWT Construction in BWT-runs Bou…

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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

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…

数据结构与算法 · 计算机科学 2019-05-30 Jarno Alanko , Travis Gagie , Gonzalo Navarro , Louisa Seelbach Benkner

Consider an input text string T[1,N] drawn from an unbounded alphabet. We study partial computation in suffix-based problems for Data Compression and Text Indexing such as (I) retrieve any segment of K<=N consecutive symbols from the…

数据结构与算法 · 计算机科学 2011-10-18 Gianni Franceschini , Roberto Grossi , S. Muthukrishnan

Dynamic Time Warping (DTW) is a widely used similarity measure for comparing strings that encode time series data, with applications to areas including bioinformatics, signature verification, and speech recognition. The standard…

数据结构与算法 · 计算机科学 2022-07-05 Zoe Xi , William Kuszmaul

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

The random access problem for compressed strings is to build a data structure that efficiently supports accessing the character in position $i$ of a string given in compressed form. Given a grammar of size $n$ compressing a string of size…

数据结构与算法 · 计算机科学 2015-01-27 Patrick Hagge Cording

The $r$-index (Gagie et al., JACM 2020) represented a breakthrough in compressed indexing of repetitive text collections, outperforming its alternatives by orders of magnitude. Its space usage, $\mathcal{O}(r)$ where $r$ is the number of…

数据结构与算法 · 计算机科学 2021-03-30 Dustin Cobas , Travis Gagie , Gonzalo Navarro

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

Compressed indexing enables powerful queries over massive and repetitive textual datasets using space proportional to the compressed input. While theoretical advances have led to highly efficient index structures, their practical…

数据结构与算法 · 计算机科学 2025-10-24 Ankith Reddy Adudodla , Dominik Kempa

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 consider the problem of {\em restructuring} compressed texts without explicit decompression. We present algorithms which allow conversions from compressed representations of a string $T$ produced by any grammar-based compression…

数据结构与算法 · 计算机科学 2011-07-15 Keisuke Goto , Shirou Maruyama , Shunsuke Inenaga , Hideo Bannai , Hiroshi Sakamoto , Masayuki Takeda

A string $w$ is called a minimal absent word (MAW) for another string $T$ if $w$ does not occur (as a substring) in $T$ and any proper substring of $w$ occurs in $T$. State-of-the-art data structures for reporting the set $\mathsf{MAW}(T)$…

数据结构与算法 · 计算机科学 2022-04-18 Tooru Akagi , Kouta Okabe , Takuya Mieno , Yuto Nakashima , Shunsuke Inenaga

A border of a string is a non-empty proper prefix of the string that is also a suffix. A string is unbordered if it has no border. The longest unbordered factor is a fundamental notion in stringology, closely related to string periodicity.…

数据结构与算法 · 计算机科学 2025-07-23 Shoma Sekizaki , Takuya Mieno

In this work, we study the limits of compressed data structures, i.e., structures that support various queries on an input text $T\in\Sigma^n$ using space proportional to the size of $T$ in compressed form. Nearly all fundamental queries…

数据结构与算法 · 计算机科学 2025-10-23 Dominik Kempa , Tomasz Kociumaka

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

A key principle in string processing is local consistency: using short contexts to handle matching fragments of a string consistently. String synchronizing sets [Kempa, Kociumaka; STOC 2019] are an influential instantiation of this…

数据结构与算法 · 计算机科学 2026-02-13 Jonas Ellert , Tomasz Kociumaka

Given a pattern $P$ and a text $T$, both strings over a binary alphabet, the binary jumbled string matching problem consists in telling whether any permutation of $P$ occurs in $T$. The indexed version of this problem, i.e., preprocessing a…

数据结构与算法 · 计算机科学 2013-05-09 Emanuele Giaquinta , Szymon Grabowski

This paper provides an upper bound for several subsets of maximal repeats and maximal pairs in compressed strings and also presents a formerly unknown relationship between maximal pairs and the run-length Burrows-Wheeler transform. This…

数据结构与算法 · 计算机科学 2020-02-18 Julian Pape-Lange

We survey the different methods used for extending the BWT to collections of strings, following largely [Cenzato and Lipt\'ak, CPM 2022, Bioinformatics 2024]. We analyze the specific aspects and combinatorial properties of the resulting BWT…

数据结构与算法 · 计算机科学 2025-06-03 Davide Cenzato , Zsuzsanna Lipták , Nadia Pisanti , Giovanna Rosone , Marinella Sciortino

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