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The suffix array is a classic full-text index, combining effectiveness with simplicity. We discuss three approaches aiming to improve its efficiency even more: changes to the navigation, data layout and adding extra data. In short, we show…

Data Structures and Algorithms · Computer Science 2016-07-28 Tomasz Kowalski , Szymon Grabowski , Kimmo Fredriksson , Marcin Raniszewski

The suffix array is an efficient data structure for in-memory pattern search. Suffix arrays can also be used for external-memory pattern search, via two-level structures that use an internal index to identify the correct block of suffix…

Data Structures and Algorithms · Computer Science 2013-03-27 Simon Gog , Alistair Moffat , J. Shane Culpepper , Andrew Turpin , Anthony Wirth

We introduce a new family of compressed data structures to efficiently store and query large string dictionaries in main memory. Our main technique is a combination of hierarchical Front-coding with ideas from longest-common-prefix…

Data Structures and Algorithms · Computer Science 2019-11-20 Nieves R. Brisaboa , Ana Cerdeira-Pena , Guillermo de Bernardo , Gonzalo Navarro

An indexed sequence of strings is a data structure for storing a string sequence that supports random access, searching, range counting and analytics operations, both for exact matches and prefix search. String sequences lie at the core of…

Data Structures and Algorithms · Computer Science 2012-04-17 Roberto Grossi , Giuseppe Ottaviano

The Suffix Array is a classic text index enabling on-line pattern matching queries via simple binary search. The main drawback of the Suffix Array is that it takes linear space in the text's length, even if the text itself is extremely…

Data Structures and Algorithms · Computer Science 2025-03-19 Davide Cenzato , Lore Depuydt , Travis Gagie , Sung-Hwan Kim , Giovanni Manzini , Francisco Olivares , Nicola Prezza

Suffix trees are one of the most versatile data structures in stringology, with many applications in bioinformatics. Their main drawback is their size, which can be tens of times larger than the input sequence. Much effort has been put into…

Data Structures and Algorithms · Computer Science 2017-12-18 Andrea Farruggia , Travis Gagie , Gonzalo Navarro , Simon J. Puglisi , Jouni Sirén

Rank and select queries on bitmaps are essential building bricks of many compressed data structures, including text indexes, membership and range supporting spatial data structures, compressed graphs, and more. Theoretically considered yet…

Data Structures and Algorithms · Computer Science 2016-05-13 Szymon Grabowski , Marcin Raniszewski

We study the fundamental question of how efficiently suffix array entries can be accessed when the array cannot be stored explicitly. The suffix array $SA_T[1..n]$ of a text $T$ of length $n$ encodes the lexicographic order of its suffixes…

Data Structures and Algorithms · Computer Science 2025-10-23 Dominik Kempa , Tomasz Kociumaka

The Fenwick tree is a classical implicit data structure that stores an array in such a way that modifying an element, accessing an element, computing a prefix sum and performing a predecessor search on prefix sums all take logarithmic time.…

Data Structures and Algorithms · Computer Science 2019-10-15 Stefano Marchini , Sebastiano Vigna

Tries are popular data structures for storing a set of strings, where common prefixes are represented by common root-to-node paths. Over fifty years of usage have produced many variants and implementations to overcome some of their…

Data Structures and Algorithms · Computer Science 2011-12-06 Roberto Grossi , Giuseppe Ottaviano

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

The problem of storing a set of strings --- a string dictionary --- in compact form appears naturally in many cases. While classically it has represented a small part of the whole data to be processed (e.g., for Natural Language processing…

Data Structures and Algorithms · Computer Science 2011-01-31 Nieves R. Brisaboa , Rodrigo Cánovas , Miguel A. Martínez-Prieto , Gonzalo Navarro

The tremendous expanse of search engines, dictionary and thesaurus storage, and other text mining applications, combined with the popularity of readily available scanning devices and optical character recognition tools, has necessitated…

Databases · Computer Science 2012-07-04 Sourav Dutta , Arnab Bhattacharya

Efficiently word storing and searching is an important task in computer science. An application space complexity, time complexity, and overall performance depend on this string data. Many word searching data structures and algorithms exist…

Data Structures and Algorithms · Computer Science 2019-11-06 Rahat Yeasin Emon , Sharmistha Chanda Tista

We attempt to determine the best order and search algorithm to store $n$ comparable data items in an array, $A$, of length $n$ so that we can, for any query value, $x$, quickly find the smallest value in $A$ that is greater than or equal to…

Data Structures and Algorithms · Computer Science 2017-03-16 Paul-Virak Khuong , Pat Morin

The dictionary matching problem is to locate occurrences of any pattern among a set of patterns in a given text. Massive data sets abound and at the same time, there are many settings in which working space is extremely limited. We…

Data Structures and Algorithms · Computer Science 2013-01-29 Shoshana Marcus Dina Sokol

Suffix trees are a fundamental data structure in stringology, but their space usage, though linear, is an important problem for its applications. We design and implement a new compressed suffix tree targeted to highly repetitive texts, such…

Data Structures and Algorithms · Computer Science 2019-02-12 Manuel Cáceres , Gonzalo Navarro

A predecessor (successor) search finds the largest element $x^-$ smaller than the input string $x$ (the smallest element $x^+$ larger than or equal to $x$, respectively) out of a given set $S$; in this paper, we consider the static case…

Data Structures and Algorithms · Computer Science 2012-09-26 Djamal Belazzougui , Paolo Boldi , Sebastiano Vigna

Neural document ranking approaches, specifically transformer models, have achieved impressive gains in ranking performance. However, query processing using such over-parameterized models is both resource and time intensive. In this paper,…

Information Retrieval · Computer Science 2022-04-05 Jurek Leonhardt , Koustav Rudra , Megha Khosla , Abhijit Anand , Avishek Anand

Text indexing is a classical algorithmic problem that has been studied for over four decades: given a text $T$, pre-process it off-line so that, later, we can quickly count and locate the occurrences of any string (the query pattern) in $T$…

Data Structures and Algorithms · Computer Science 2020-12-15 Nicola Prezza
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