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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.…

基因组学 · 定量生物学 2021-02-10 Diego Diaz-Dominguez annd Gonzalo Navarro

We show that the compressed suffix array and the compressed suffix tree of a string $T$ can be built in $O(n)$ deterministic time using $O(n\log\sigma)$ bits of space, where $n$ is the string length and $\sigma$ is the alphabet size.…

数据结构与算法 · 计算机科学 2016-11-15 J. Ian Munro , Gonzalo Navarro , Yakov Nekrich

We investigate two closely related LZ78-based compression schemes: LZMW (an old scheme by Miller and Wegman) and LZD (a recent variant by Goto et al.). Both LZD and LZMW naturally produce a grammar for a string of length $n$; we show that…

数据结构与算法 · 计算机科学 2017-07-26 Golnaz Badkobeh , Travis Gagie , Shunsuke Inenaga , Tomasz Kociumaka , Dmitry Kosolobov , Simon J. Puglisi

In grammar-based compression a string is represented by a context-free grammar, also called a straight-line program (SLP), that generates only that string. We refine a recent balancing result stating that one can transform an SLP of size…

数据结构与算法 · 计算机科学 2021-07-02 Moses Ganardi

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 most fundamental problem considered in algorithms for text processing is pattern matching: given a pattern $p$ of length $m$ and a text $t$ of length $n$, does $p$ occur in $t$? Multiple versions of this basic question have been…

数据结构与算法 · 计算机科学 2021-11-10 Moses Ganardi , Paweł Gawrychowski

In this paper, we show that the LZ77 factorization of a text T {\in\Sigma^n} can be computed in O(R log n) bits of working space and O(n log R) time, R being the number of runs in the Burrows-Wheeler transform of T reversed. For extremely…

数据结构与算法 · 计算机科学 2015-10-22 Nicola Prezza , Alberto Policriti

In this paper we describe compressed indexes that support pattern matching queries for strings with wildcards. For a constant size alphabet our data structure uses $O(n\log^{\varepsilon}n)$ bits for any $\varepsilon>0$ and reports all…

数据结构与算法 · 计算机科学 2014-01-06 Moshe Lewenstein , Yakov Nekrich , Jeffrey Scott Vitter

In this paper, a fully compressed pattern matching problem is studied. The compression is represented by straight-line programs (SLPs), i.e. a context-free grammars generating exactly one string; the term fully means that both the pattern…

数据结构与算法 · 计算机科学 2013-06-26 Artur Jeż

We consider the class of conditional graph patterns (\emph{CGPs}) that allow user to query data graphs with complex patterns that contain negation and predicates. To overcome the prohibitive cost of subgraph isomorphism, we consider…

数据库 · 计算机科学 2022-07-27 Houari Mahfoud

The problem of finding factors of a text string which are identical or similar to a given pattern string is a central problem in computer science. A generalised version of this problem consists in implementing an index over the text to…

数据结构与算法 · 计算机科学 2016-02-04 Carl Barton , Tomasz Kociumaka , Solon P. Pissis , Jakub Radoszewski

A seed in a word is a relaxed version of a period in which the occurrences of the repeating subword may overlap. We show a linear-time algorithm computing a linear-size representation of all the seeds of a word (the number of seeds might be…

数据结构与算法 · 计算机科学 2019-03-15 Tomasz Kociumaka , Marcin Kubica , Jakub Radoszewski , Wojciech Rytter , Tomasz Walen

We consider the problem of preprocessing a text $T$ of length $n$ and a dictionary $\mathcal{D}$ in order to be able to efficiently answer queries $CountDistinct(i,j)$, that is, given $i$ and $j$ return the number of patterns from…

A temporal graph is a sequence of graphs (called layers) over the same vertex set -- describing a graph topology which is subject to discrete changes over time. A $\Delta$-temporal matching $M$ is a set of time edges $(e,t)$ (an edge $e$…

数据结构与算法 · 计算机科学 2021-04-26 Philipp Zschoche

Given a set of pattern strings $\mathcal{P}=\{P_1, P_2,\ldots P_k\}$ and a text string $S$, the classic dictionary matching problem is to report all occurrences of each pattern in $S$. We study the dictionary problem in the compressed…

数据结构与算法 · 计算机科学 2025-09-04 Philip Bille , Inge Li Gørtz , Simon J. Puglisi , Simon R. Tarnow

Re-Pair is a grammar compression scheme with favorably good compression rates. The computation of Re-Pair comes with the cost of maintaining large frequency tables, which makes it hard to compute Re-Pair on large scale data sets. As a…

数据结构与算法 · 计算机科学 2019-11-19 Dominik Köppl , Tomohiro I , Isamu Furuya , Yoshimasa Takabatake , Kensuke Sakai , Keisuke Goto

It was recently proved that any Straight-Line Program (SLP) generating a given string can be transformed in linear time into an equivalent balanced SLP of the same asymptotic size. We generalize this proof to a general class of grammars we…

数据结构与算法 · 计算机科学 2024-04-11 Gonzalo Navarro , Francisco Olivares , Cristian Urbina

We show that the compressed suffix array and the compressed suffix tree for a string of length $n$ over an integer alphabet of size $\sigma\leq n$ can both be built in $O(n)$ (randomized) time using only $O(n\log\sigma)$ bits of working…

数据结构与算法 · 计算机科学 2016-05-24 Djamal Belazzougui

Neural word segmentation has attracted more and more research interests for its ability to alleviate the effort of feature engineering and utilize the external resource by the pre-trained character or word embeddings. In this paper, we…

计算与语言 · 计算机科学 2017-07-04 Xinchi Chen , Zhan Shi , Xipeng Qiu , Xuanjing Huang

Document listing on string collections is the task of finding all documents where a pattern appears. It is regarded as the most fundamental document retrieval problem, and is useful in various applications. Many of the fastest-growing…

数据结构与算法 · 计算机科学 2019-02-21 Dustin Cobas , Gonzalo Navarro