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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…

Data Structures and Algorithms · Computer Science 2017-11-02 Nicola Prezza

Suffix tree construction algorithms based on suffix links are popular because they are simple to implement, can operate online in linear time, and because the suffix links are often convenient for pattern matching. We present an approach…

Data Structures and Algorithms · Computer Science 2014-07-15 N. Jesper Larsson , Kasper Fuglsang , Kenneth Karlsson

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…

Data Structures and Algorithms · Computer Science 2010-06-30 Jouni Sirén

Sampling (evenly) the suffixes from the suffix array is an old idea trading the pattern search time for reduced index space. A few years ago Claude et al. showed an alphabet sampling scheme allowing for more efficient pattern searches…

Data Structures and Algorithms · Computer Science 2014-12-04 Szymon Grabowski , Marcin Raniszewski

The well-known dictionary-based algorithms of the Lempel-Ziv (LZ) 77 family are the basis of several universal lossless compression techniques. These algorithms are asymmetric regarding encoding/decoding time and memory requirements, with…

Data Structures and Algorithms · Computer Science 2009-12-31 Artur Ferreira , Arlindo Oliveira , Mario Figueiredo

In this paper we will describe a new approach on the well-known suffix-array algorithm using Big Table Data Technology. We will demonstrate how it is possible to refactor a well-known algorithm coupled by taking advantage of an…

Databases · Computer Science 2020-03-26 Piero Giacomelli

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…

Data Structures and Algorithms · Computer Science 2016-03-09 German Tischler

We present jump consistent hash, a fast, minimal memory, consistent hash algorithm that can be expressed in about 5 lines of code. In comparison to the algorithm of Karger et al., jump consistent hash requires no storage, is faster, and…

Data Structures and Algorithms · Computer Science 2014-06-10 John Lamping , Eric Veach

We present a new, simple, and efficient approach for computing the Lempel-Ziv (LZ77) factorization of a string in linear time, based on suffix arrays. Computational experiments on various data sets show that our approach constantly…

Data Structures and Algorithms · Computer Science 2013-01-21 Keisuke Goto , Hideo Bannai

We solve the problem of finding interspersed maximal repeats using a suffix array construction. As it is well known, all the functionality of suffix trees can be handled by suffix arrays, gaining practicality. Our solution improves the…

Data Structures and Algorithms · Computer Science 2013-04-03 Veronica Becher , Alejandro Deymonnaz , Pablo Ariel Heiber

FastText has established itself as a fundamental algorithm for learning word representations, demonstrating exceptional capability in handling out-of-vocabulary words through character-level n-gram embeddings. However, its hash-based…

Computation and Language · Computer Science 2025-06-03 Yimin Du

Sorting is a fundamental algorithmic pre-processing technique which often allows to represent data more compactly and, at the same time, speeds up search queries on it. In this paper, we focus on the well-studied problem of sorting and…

Data Structures and Algorithms · Computer Science 2023-04-24 Sung-Hwan Kim , Francisco Olivares , Nicola Prezza

Suffix tree (and the closely related suffix array) are fundamental structures capturing all substrings of a given text essentially by storing all its suffixes in the lexicographical order. In some applications, we work with a subset of $b$…

Data Structures and Algorithms · Computer Science 2016-08-03 Paweł Gawrychowski , Tomasz Kociumaka

It has been shown in the indexing literature that there is an essential difference between prefix/range searches on the one hand, and predecessor/rank searches on the other hand, in that the former provably allows faster query resolution.…

Data Structures and Algorithms · Computer Science 2018-04-16 Djamal Belazzougui , Paolo Boldi , Rasmus Pagh , Sebastiano Vigna

Coded caching schemes with low subpacketization and small transmission rate are desirable in practice due to the requirement of low implementation complexity and efficiency of the transmission. Placement delivery arrays (PDA in short) can…

Information Theory · Computer Science 2020-08-25 Mingming Zhang , Minquan Cheng , Jinyu Wang , Xi Zhong , Yishan Chen

As applications continue to generate multi-dimensional data at exponentially increasing rates, fast analytics to extract meaningful results is becoming extremely important. The database community has developed array databases that alleviate…

Databases · Computer Science 2018-03-19 Weijie Zhao , Florin Rusu , Bin Dong , Kesheng Wu , Anna Y. Q. Ho , Peter Nugent

Suffix arrays and LCP arrays are one of the most fundamental data structures widely used for various kinds of string processing. We consider two problems for a read-only string of length $N$ over an integer alphabet $[1, \dots, \sigma]$ for…

Data Structures and Algorithms · Computer Science 2019-07-16 Keisuke Goto

We propose two suffix array inspired full-text indexes. One, called SA-hash, augments the suffix array with a hash table to speed up pattern searches due to significantly narrowed search interval before the binary search phase. The other,…

Data Structures and Algorithms · Computer Science 2016-05-24 Szymon Grabowski , Marcin Raniszewski

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

The suffix array is a fundamental data structure for many applications that involve string searching and data compression. Designing time/space-efficient suffix array construction algorithms has attracted significant attention and…

Data Structures and Algorithms · Computer Science 2018-11-12 Zhize Li , Jian Li , Hongwei Huo