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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

Indexing very large collections of strings, such as those produced by the widespread next generation sequencing technologies, heavily relies on multistring generalization of the Burrows-Wheeler Transform (BWT): large requirements of…

数据结构与算法 · 计算机科学 2020-12-07 Paola Bonizzoni , Gianluca Della Vedova , Yuri Pirola , Marco Previtali , Raffaella Rizzi

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…

数据结构与算法 · 计算机科学 2016-05-16 Anthony J. Cox , Fabio Garofalo , Giovanna Rosone , Marinella Sciortino

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 longest common prefix (LCP) array is a versatile auxiliary data structure in indexed string matching. It can be used to speed up searching using the suffix array (SA) and provides an implicit representation of the topology of an…

数据结构与算法 · 计算机科学 2016-03-09 German Tischler

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

In this article we extend the elegant in-place Burrows-Wheeler transform (BWT) algorithm proposed by Crochemore et al. (Crochemore et al., 2015). Our extension is twofold: we first show how to compute simultaneously the longest common…

数据结构与算法 · 计算机科学 2018-06-08 Felipe A. Louza , Travis Gagie , Guilherme P. Telles

Although real-world text datasets, such as DNA sequences, are far from being uniformly random, average-case string searching algorithms perform significantly better than worst-case ones in most applications of interest. In this paper, we…

数据结构与算法 · 计算机科学 2018-01-16 Lorraine A. K. Ayad , Panagiotis Charalampopoulos , Costas S. Iliopoulos , Solon P. Pissis

We propose an external memory algorithm for the computation of the BWT and LCP array for a collection of sequences. Our algorithm takes the amount of available memory as an input parameter, and tries to make the best use of it by splitting…

数据结构与算法 · 计算机科学 2020-09-10 Lavinia Egidi , Felipe A. Louza , Giovanni Manzini , Guilherme P. Telles

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

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

We show how to build several data structures of central importance to string processing, taking as input the Burrows-Wheeler transform (BWT) and using small extra working space. Let $n$ be the text length and $\sigma$ be the alphabet size.…

数据结构与算法 · 计算机科学 2019-08-14 Nicola Prezza , Giovanna Rosone

The suffix array, perhaps the most important data structure in modern string processing, is often augmented with the longest common prefix (LCP) array which stores the lengths of the LCPs for lexicographically adjacent suffixes of a string.…

数据结构与算法 · 计算机科学 2017-02-27 Juha Kärkkäinen , Marcin Piątkowski , Simon J. Puglisi

Finding the longest common subsequence in $k$-length substrings (LCS$k$) is a recently proposed problem motivated by computational biology. This is a generalization of the well-known LCS problem in which matching symbols from two sequences…

数据结构与算法 · 计算机科学 2013-11-20 Sebastian Deorowicz , Szymon Grabowski

The suffix tree is a very important data structure in string processing, but it suffers from a huge space consumption. In large-scale applications, compressed suffix trees (CSTs) are therefore used instead. A CST consists of three…

数据结构与算法 · 计算机科学 2010-12-21 Simon Gog , Enno Ohlebusch

The advent of "next-generation" DNA sequencing (NGS) technologies has meant that collections of hundreds of millions of DNA sequences are now commonplace in bioinformatics. Knowing the longest common prefix array (LCP) of such a collection…

数据结构与算法 · 计算机科学 2013-05-02 Markus J. Bauer , Anthony J. Cox , Giovanna Rosone , Marinella Sciortino

When augmented with the longest common prefix (LCP) array and some other structures, the suffix array can solve many string processing problems in optimal time and space. A compressed representation of the LCP array is also one of the main…

数据结构与算法 · 计算机科学 2010-06-30 Jouni Sirén

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

Sparse suffix sorting is the problem of sorting $b=o(n)$ suffixes of a string of length $n$. Efficient sparse suffix sorting algorithms have existed for more than a decade. Despite the multitude of works and their justified claims for…

数据结构与算法 · 计算机科学 2024-07-08 Lorraine A. K. Ayad , Grigorios Loukides , Solon P. Pissis , Hilde Verbeek

Suffix arrays encode the lexicographical order of all suffixes of a text and are often combined with the Longest Common Prefix array (LCP) to simulate navigational queries on the suffix tree in reduced space. In space-critical applications…

数据结构与算法 · 计算机科学 2017-11-02 Nicola Prezza
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