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Related papers: Online Self-Indexed Grammar Compression

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Pattern matching is the most central task for text indices. Most recent indices leverage compression techniques to make pattern matching feasible for massive but highly-compressible datasets. Within this kind of indices, we propose a new…

Data Structures and Algorithms · Computer Science 2021-05-31 Tooru Akagi , Dominik Köppl , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

To store and search genomic databases efficiently, researchers have recently started building compressed self-indexes based on grammars. In this paper we show how, given a straight-line program with $r$ rules for a string (S [1..n]) whose…

Data Structures and Algorithms · Computer Science 2012-09-28 Travis Gagie , Paweł Gawrychowski , Juha Kärkkäinen , Yakov Nekrich , Simon J. Puglisi

A compressed self-index stores a string in compressed form while supporting locate queries without decompression. For highly repetitive strings (arising in web crawls, versioned documents, and genomic collections), static self-indexes can…

Data Structures and Algorithms · Computer Science 2026-04-29 Takaaki Nishimoto , Yasuo Tabei

The compressed indexing problem is to preprocess a string $S$ of length $n$ into a compressed representation that supports pattern matching queries. That is, given a string $P$ of length $m$ report all occurrences of $P$ in $S$. We present…

Data Structures and Algorithms · Computer Science 2018-04-12 Anders Roy Christiansen , Mikko Berggren Ettienne

Suppose that we are given a string $s$ of length $n$ over an alphabet $\{0,1,\ldots,n^{O(1)}\}$ and $\delta$ is the string complexity of $s$, a known compression measure. We describe an index on $s$ with $O(\delta\log\frac{n}{\delta})$…

Data Structures and Algorithms · Computer Science 2026-04-15 Dmitry Kosolobov

The rise of repetitive datasets has lately generated a lot of interest in compressed self-indexes based on dictionary compression, a rich and heterogeneous family that exploits text repetitions in different ways. For each such compression…

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

While several self-indexes for highly repetitive texts exist, developing a practical self-index applicable to real world repetitive texts remains a challenge. ESP-index is a grammar-based self-index on the notion of edit-sensitive parsing…

Data Structures and Algorithms · Computer Science 2014-04-29 Yoshimasa Takabatake , Yasuo Tabei , Hiroshi Sakamoto

We introduce the first self-index based on the Lempel-Ziv 1977 compression format (LZ77). It is particularly competitive for highly repetitive text collections such as sequence databases of genomes of related species, software repositories,…

Data Structures and Algorithms · Computer Science 2011-01-24 Sebastian Kreft , Gonzalo Navarro

Let a text $T[1..n]$ be the only string generated by a context-free grammar with $g$ (terminal and nonterminal) symbols, and of size $G$ (measured as the sum of the lengths of the right-hand sides of the rules). Such a grammar, called a…

Data Structures and Algorithms · Computer Science 2020-04-03 Francisco Claude , Gonzalo Navarro , Alejandro Pacheco

Domains like bioinformatics, version control systems, collaborative editing systems (wiki), and others, are producing huge data collections that are very repetitive. That is, there are few differences between the elements of the collection.…

Data Structures and Algorithms · Computer Science 2011-12-21 Sebastian Kreft , Gonzalo Navarro

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…

Data Structures and Algorithms · Computer Science 2025-10-24 Ankith Reddy Adudodla , Dominik Kempa

Practical data structures for the edit-sensitive parsing (ESP) are proposed. Given a string S, its ESP tree is equivalent to a context-free grammar G generating just S, which is represented by a DAG. Using the succinct data structures for…

Data Structures and Algorithms · Computer Science 2015-03-17 Naoya Kishiue , Masaya Nakahara , Shirou Maruyama , Hiroshi Sakamoto

Grammar-based compression is a popular and powerful approach to compressing repetitive texts but until recently its relatively poor time-space trade-offs during real-life construction made it impractical for truly massive datasets such as…

Data Structures and Algorithms · Computer Science 2020-07-21 Travis Gagie , Tomohiro I , Giovanni Manzini , Gonzalo Navarro , Hiroshi Sakamoto , Louisa Seelbach Benkner , Yoshimasa Takabatake

We present a novel compressed dynamic self-index for highly repetitive text collections. Signature encoding is a compressed dynamic self-index for highly repetitive texts and has a large disadvantage that the pattern search for short…

Data Structures and Algorithms · Computer Science 2018-04-25 Takaaki Nishimoto , Yoshimasa Takabatake , Yasuo Tabei

We introduce a new class of straight-line programs (SLPs), named the Lyndon SLP, inspired by the Lyndon trees (Barcelo, 1990). Based on this SLP, we propose a self-index data structure of $O(g)$ words of space that can be built from a…

Data Structures and Algorithms · Computer Science 2020-04-28 Kazuya Tsuruta , Dominik Köppl , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

Various grammar compression algorithms have been proposed in the last decade. A grammar compression is a restricted CFG deriving the string deterministically. An efficient grammar compression develops a smaller CFG by finding duplicated…

Data Structures and Algorithms · Computer Science 2016-09-01 Shouhei Fukunaga , Yoshimasa Takabatake , I Tomohiro , Hiroshi Sakamoto

Given a string $S$ of length $n$, the classic string indexing problem is to preprocess $S$ into a compact data structure that supports efficient subsequent pattern queries. In this paper we consider the basic variant where the pattern is…

Data Structures and Algorithms · Computer Science 2024-02-15 Philip Bille , Inge Li Gørtz , Teresa Anna Steiner

A compressed full-text self-index represents a text in a compressed form and still answers queries efficiently. This technology represents a breakthrough over the text indexing techniques of the previous decade, whose indexes required…

Data Structures and Algorithms · Computer Science 2007-12-21 Paolo Ferragina , Rodrigo Gonzalez , Gonzalo Navarro , Rossano Venturini

Compressed indexing is a powerful technique that enables efficient querying over data stored in compressed form, significantly reducing memory usage and often accelerating computation. While extensive progress has been made for…

Data Structures and Algorithms · Computer Science 2025-10-23 Rajat De , Dominik Kempa

Indexing highly repetitive collections has become a relevant problem with the emergence of large repositories of versioned documents, among other applications. These collections may reach huge sizes, but are formed mostly of documents that…

Information Retrieval · Computer Science 2016-05-25 Francisco Claude , Antonio Fariña , Miguel A. Martínez-Prieto , Gonzalo Navarro
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