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The palindromic tree (a.k.a. eertree) is a data structure that provides access to all palindromic substrings of a string. In this paper, we propose a dynamic version of eertree, called double-ended eertree, which supports online operations…

Data Structures and Algorithms · Computer Science 2025-11-25 Qisheng Wang , Ming Yang , Xinrui Zhu

We consider the problems of computing maximal palindromes and distinct palindromes in a trie. A trie is a natural generalization of a string, which can be seen as a single-path tree. There is a linear-time offline algorithm to compute…

Data Structures and Algorithms · Computer Science 2026-01-26 Hiroki Shibata , Mitsuru Funakoshi , Takuya Mieno , Masakazu Ishihata , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

This paper introduces a data structure, called simplex tree, to represent abstract simplicial complexes of any dimension. All faces of the simplicial complex are explicitly stored in a trie whose nodes are in bijection with the faces of the…

Computational Geometry · Computer Science 2020-01-09 Jean-Daniel Boissonnat , Clément Maria

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

Suffix trees are key and efficient data structure for solving string problems. A suffix tree is a compressed trie containing all the suffixes of a given text of length $n$ with a linear construction cost. In this work, we introduce an…

Data Structures and Algorithms · Computer Science 2024-06-04 Anas Al-okaily

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

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 trie $\mathcal{T}$ is a rooted tree such that each edge is labeled by a single character from the alphabet, and the labels of out-going edges from the same node are mutually distinct. Given a trie $\mathcal{T}$ with $n$ edges, we show how…

Data Structures and Algorithms · Computer Science 2022-11-11 Takuya Mieno , Mitsuru Funakoshi , Shunsuke Inenaga

A suffix tree is a data structure used mainly for pattern matching. It is known that the space complexity of simple suffix trees is quadratic in the length of the string. By a slight modification of the simple suffix trees one gets the…

Combinatorics · Mathematics 2016-11-15 Bálint Vásárhelyi

A recent paradigm shift in bioinformatics from a single reference genome to a pangenome brought with it several graph structures. These graph structures must implement operations, such as efficient construction from multiple genomes and…

Data Structures and Algorithms · Computer Science 2023-06-27 Andrej Baláž , Alessia Petescia

In this paper, we propose a new indexing structure for parameterized strings which we call PLSTs, by generalizing linear-size suffix tries for ordinary strings. Two parameterized strings are said to match if there is a bijection on the…

Data Structures and Algorithms · Computer Science 2019-09-05 Katsuhito Nakashima , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

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

Suffix trees and suffix arrays are two of the most widely used data structures for text indexing. Each uses linear space and can be constructed in linear time for polynomially sized alphabets. However, when it comes to answering queries…

Data Structures and Algorithms · Computer Science 2013-11-08 Richard Cole , Tsvi Kopelowitz , Moshe Lewenstein

As an emerging field, MS-based proteomics still requires software tools for efficiently storing and accessing experimental data. In this work, we focus on the management of LC-MS data, which are typically made available in standard…

Computational Engineering, Finance, and Science · Computer Science 2010-04-27 Sara Nasso , Francesco Silvestri , Francesco Tisiot , Barbara Di Camillo , Andrea Pietracaprina , Gianna Maria Toffolo

We consider an index data structure for similar strings. The generalized suffix tree can be a solution for this. The generalized suffix tree of two strings $A$ and $B$ is a compacted trie representing all suffixes in $A$ and $B$. It has…

Data Structures and Algorithms · Computer Science 2013-05-09 Joong Chae Na , Heejin Park , Maxime Crochemore , Jan Holub , Costas S. Iliopoulos , Laurent Mouchard , Kunsoo Park

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

The suffix tree is a data structure for indexing strings. It is used in a variety of applications such as bioinformatics, time series analysis, clustering, text editing and data compression. However, when the string and the resulting suffix…

Databases · Computer Science 2011-10-03 Essam Mansour , Amin Allam , Spiros Skiadopoulos , Panos Kalnis

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

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

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
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