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The process of sorting the suffixes of a text plays a fundamental role in Text Algorithms. They are used for instance in the constructions of the Burrows-Wheeler transform and the suffix array, widely used in several fields of Computer…

Data Structures and Algorithms · Computer Science 2013-06-07 Sabrina Mantaci , Antonio Restivo , Giovanna Rosone , Marinella Sciortino

Most of the fastest-growing string collections today are repetitive, that is, most of the constituent documents are similar to many others. As these collections keep growing, a key approach to handling them is to exploit their…

Information Retrieval · Computer Science 2017-05-22 Travis Gagie , Aleksi Hartikainen , Kalle Karhu , Juha Kärkkäinen , Gonzalo Navarro , Simon J. Puglisi , Jouni Sirén

Datalog has become a popular implementation language for solving large-scale, real-world problems, including bug finders, network analysis tools, and disassemblers. These applications express complex behaviour with hundreds of relations and…

Programming Languages · Computer Science 2021-08-26 Xiaowen Hu , Joshua Karp , David Zhao , Abdul Zreika , Xi Wu , Bernhard Scholz

Analyzing textual data is a very challenging task because of the huge volume of data generated daily. Fundamental issues in text analysis include the lack of structure in document datasets, the need for various preprocessing steps %(e.g.,…

Databases · Computer Science 2016-12-20 Ciprian-Octavian Truică , Jérôme Darmont , Julien Velcin

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 notions of synchronizing and partitioning sets are recently introduced variants of locally consistent parsings with great potential in problem-solving. In this paper we propose a deterministic algorithm that constructs for a given…

Data Structures and Algorithms · Computer Science 2024-04-23 Dmitry Kosolobov , Nikita Sivukhin

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

The Simplex Tree (ST) is a recently introduced data structure that can represent abstract simplicial complexes of any dimension and allows efficient implementation of a large range of basic operations on simplicial complexes. In this paper,…

Computational Geometry · Computer Science 2016-11-08 Jean-Daniel Boissonnat , Karthik C. S. , Sébastien Tavenas

Strings form a fundamental data type in computer systems. String searching has been extensively studied since the inception of computer science. Increasingly many applications have to deal with imprecise strings or strings with fuzzy…

Databases · Computer Science 2015-09-30 Sharma V. Thankachan , Manish Patil , Rahul Shah , Sudip Biswas

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

Massive sizes of real-world graphs, such as social networks and web graph, impose serious challenges to process and perform analytics on them. These issues can be resolved by working on a small summary of the graph instead . A summary is a…

Data Structures and Algorithms · Computer Science 2018-06-12 Maham Anwar Beg , Muhammad Ahmad , Arif Zaman , Imdadullah Khan

Graph rewriting is a popular tool for the optimisation and modification of graph expressions in domains such as compilers, machine learning and quantum computing. The underlying data structures are often port graphs - graphs with labels at…

Data Structures and Algorithms · Computer Science 2025-03-27 Luca Mondada , Pablo Andrés-Martínez

Efficient methods for storing and querying are critical for scaling high-order n-gram language models to large corpora. We propose a language model based on compressed suffix trees, a representation that is highly compact and can be easily…

Computation and Language · Computer Science 2016-08-17 Ehsan Shareghi , Matthias Petri , Gholamreza Haffari , Trevor Cohn

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.…

Data Structures and Algorithms · Computer Science 2017-02-27 Juha Kärkkäinen , Marcin Piątkowski , Simon J. Puglisi

Speculative decoding is widely adopted to reduce latency in large language model (LLM) inference by leveraging smaller draft models capable of handling diverse user tasks. However, emerging AI applications, such as LLM-based agents, present…

Computation and Language · Computer Science 2025-10-09 Gabriele Oliaro , Zhihao Jia , Daniel Campos , Aurick Qiao

We present parallel algorithms for exact and approximate pattern matching with suffix arrays, using a CREW-PRAM with $p$ processors. Given a static text of length $n$, we first show how to compute the suffix array interval of a given…

Data Structures and Algorithms · Computer Science 2016-06-09 Johannes Fischer , Dominik Köppl , Florian Kurpicz

Verifying safety and liveness over array systems is a highly challenging problem. Array systems naturally capture parameterized systems such as distributed protocols with an unbounded number of processes. Such distributed protocols often…

Software Engineering · Computer Science 2024-01-08 Chih-Duo Hong , Anthony W. Lin

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

The growth in data storage capacity and the increasing demands for high performance have created several challenges for concurrent indexing structures. One promising solution is learned indexes, which use a learning-based approach to fit…

Databases · Computer Science 2023-09-06 Jiake Ge , Huanchen Zhang , Boyu Shi , Yuanhui Luo , Yunda Guo , Yunpeng Chai , Yuxing Chen , Anqun Pan

Satisfiability solvers are increasingly playing a key role in software verification, with particularly effective use in the analysis of security vulnerabilities. String processing is a key part of many software applications, such as…

Computational Complexity · Computer Science 2009-03-17 Susmit Jha , Sanjit A. Seshia , Rhishikesh Limaye