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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

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

We propose a new linear-size data structure which provides a fast access to all palindromic substrings of a string or a set of strings. This structure inherits some ideas from the construction of both the suffix trie and suffix tree. Using…

Data Structures and Algorithms · Computer Science 2015-08-18 Mikhail Rubinchik , Arseny M. Shur

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

Indexing a set of strings for prefix search or membership queries is a fundamental task with many applications such as information retrieval or database systems. A classic abstract data type for modelling such an index is a trie. Due to the…

Data Structures and Algorithms · Computer Science 2024-03-11 Hideo Bannai , Keisuke Goto , Shunsuke Kanda , Dominik Köppl

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

In this paper, we present a new data structure called the packed compact trie (packed c-trie) which stores a set $S$ of $k$ strings of total length $n$ in $n \log\sigma + O(k \log n)$ bits of space and supports fast pattern matching queries…

Data Structures and Algorithms · Computer Science 2017-10-11 Takuya Takagi , Shunsuke Inenaga , Kunihiko Sadakane , Hiroki Arimura

For storing a word or the whole text segment, we need a huge storage space. Typically a character requires 1 Byte for storing it in memory. Compression of the memory is very important for data management. In case of memory requirement…

Information Theory · Computer Science 2010-09-28 Md. Abul Kalam Azad , Rezwana Sharmeen , Shabbir Ahmad , S. M. Kamruzzaman

Tries are among the most versatile and widely used data structures on words. In particular, they are used in fundamental sorting algorithms such as radix sort which we study in this paper. While the performance of radix sort and tries under…

Probability · Mathematics 2015-05-28 Kevin Leckey , Ralph Neininger , Wojciech Szpankowski

A keyword dictionary is an associative array whose keys are strings. Recent applications handling massive keyword dictionaries in main memory have a need for a space-efficient implementation. When limited to static applications, there are a…

Data Structures and Algorithms · Computer Science 2020-07-23 Shunsuke Kanda , Dominik Köppl , Yasuo Tabei , Kazuhiro Morita , Masao Fuketa

Given a dynamic set $K$ of $k$ strings of total length $n$ whose characters are drawn from an alphabet of size $\sigma$, a keyword dictionary is a data structure built on $K$ that provides locate, prefix search, and update operations on…

Data Structures and Algorithms · Computer Science 2020-10-08 Kazuya Tsuruta , Dominik Köppl , Shunsuke Kanda , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

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

A binary trie is a sequential data structure for a dynamic set on the universe $\{0,\dots,u-1\}$ supporting Search with $O(1)$ worst-case step complexity, and Insert, Delete, and Predecessor operations with $O(\log u)$ worst-case step…

Data Structures and Algorithms · Computer Science 2025-09-04 Jeremy Ko

B$^+$-trees are prevalent in traditional database systems due to their versatility and balanced structure. While binary search is typically utilized for branch operations, it may lead to inefficient cache utilization in main-memory…

Databases · Computer Science 2025-04-04 Yuan Chen , Ao Li , Wenhai Li , Lingfeng Deng

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

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

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

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

This paper proposed a storing approach for trie structures, called coordinate hash trie. The basic idea is using a global hash table with a special hash function to store all edges of a trie. For a trie with $n$ nodes and an alphabet with…

Data Structures and Algorithms · Computer Science 2023-03-28 Yuxuan Dong

It is becoming increasingly difficult to improve the performance of a a single process (thread) on a computer due to physical limitations. Modern systems use multi-core processors in which multiple processes (threads) may run concurrently.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-05 Jordan Malek
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