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Binary relations are commonly used in Computer Science for modeling data. In addition to classical representations using matrices or lists, some compressed data structures have recently been proposed to represent binary relations in compact…

Data Structures and Algorithms · Computer Science 2020-02-24 Carlos Quijada-Fuentes , Miguel R. Penabad , Susana Ladra , Gilberto Gutiérrez

The $k^2$-tree is a successful compact representation of binary relations that exhibit sparseness and/or clustering properties. It can be extended to $d$ dimensions, where it is called a $k^d$-tree. The representation boils down to a long…

Data Structures and Algorithms · Computer Science 2019-11-21 Diego Arroyuelo , Guillermo de Bernardo , Travis Gagie , Gonzalo Navarro

We address the problem of representing dynamic graphs using $k^2$-trees. The $k^2$-tree data structure is one of the succinct data structures proposed for representing static graphs, and binary relations in general. It relies on compact…

Data Structures and Algorithms · Computer Science 2019-12-09 Miguel E. Coimbra , Alexandre P. Francisco , Luís M. S. Russo , Guillermo de Bernardo , Susana Ladra , Gonzalo Navarro

In this paper, we propose a compact data structure to store labeled attributed graphs based on the k2-tree, which is a very compact data structure designed to represent a simple directed graph. The idea we propose can be seen as an…

Data Structures and Algorithms · Computer Science 2018-12-31 Sandra Álvarez-García , Borja Freire , Susana Ladra , Óscar Pedreira

The representation of binary relations has been intensively studied and many different theoretical and practical representations have been proposed to answer the usual queries in multiple domains. However, ternary relations have not…

Data Structures and Algorithms · Computer Science 2017-07-11 Sandra Alvarez-Garcia , Guillermo de Bernardo , Nieves R. Brisaboa , Gonzalo Navarro

Binary relations are an important abstraction arising in many data representation problems. The data structures proposed so far to represent them support just a few basic operations required to fit one particular application. We identify…

Data Structures and Algorithms · Computer Science 2012-01-18 Jérémy Barbay , Francisco Claude , Gonzalo Navarro

Temporal graphs represent interactions between entities over time. Deciding whether entities can reach each other through temporal paths is useful for various applications such as in communication networks and epidemiology. Previous works…

Data Structures and Algorithms · Computer Science 2023-08-24 Luiz Fernando Afra Brito , Marcelo Keese Albertini , Bruno Augusto Nassif Travençolo , Gonzalo Navarro

We propose a data structure that stores, in a compressed way, object trajectories, which at the same time, allow to efficiently response queries without the need to decompress the data. We use a data structure, called $k^{2}$-tree, to store…

Data Structures and Algorithms · Computer Science 2016-11-18 Guillermo de Bernardo , Ramón Casares , Adrián Gómez-Brandón , José R. Paramá

The $k^2$-tree is a compact data structure designed to efficiently store sparse binary matrices by leveraging both sparsity and clustering of nonzero elements. This representation supports efficiently navigational operations and complex…

Data Structures and Algorithms · Computer Science 2025-05-19 Gabriel Carmona , Giovanni Manzini

Big research efforts have been devoted to efficiently manage spatio-temporal data. However, most works focused on vectorial data, and much less, on raster data. This work presents a new representation for raster data that evolve along time…

Data Structures and Algorithms · Computer Science 2018-10-26 Ana Cerdeira-Pena , Guillermo de Bernardo , Antonio Fariña , Jose R. Parama , Fernando Silva-Coira

We present a new compact representation to efficiently store and query large RDF datasets in main memory. Our proposal, called BMatrix, is based on the k2-tree, a data structure devised to represent binary matrices in a compressed way, and…

Databases · Computer Science 2020-02-27 Nieves R. Brisaboa , Ana Cerdeira-Pena , Guillermo de Bernardo , Antonio Fariña

We introduce a new technique for the efficient management of large sequences of multidimensional data, which takes advantage of regularities that arise in real-world datasets and supports different types of aggregation queries. More…

Data Structures and Algorithms · Computer Science 2018-03-08 Nieves R. Brisaboa , Guillermo de Bernardo , Gonzalo Navarro , Tirso V. Rodeiro , Diego Seco

A central challenge in scaling up explicit state-space search for large tasks is compactly representing the set of generated states. Tree databases, a data structure from model checking, require constant space per generated state in the…

Artificial Intelligence · Computer Science 2025-11-18 Oliver Joergensen , Dominik Drexler , Jendrik Seipp

In the dynamic indexing problem, we must maintain a changing collection of text documents so that we can efficiently support insertions, deletions, and pattern matching queries. We are especially interested in developing efficient data…

Data Structures and Algorithms · Computer Science 2015-03-23 J. Ian Munro , Yakov Nekrich , Jeffrey Scott Vitter

The Block Tree (BT) is a novel compact data structure designed to compress sequence collections. It obtains compression ratios close to Lempel-Ziv and supports efficient direct access to any substring. The BT divides the text recursively…

Data Structures and Algorithms · Computer Science 2018-03-06 Nieves R. Brisaboa , Travis Gagie , Adrián Gómez-Brandón , Gonzalo Navarro

Relational queries, and in particular join queries, often generate large output results when executed over a huge dataset. In such cases, it is often infeasible to store the whole materialized output if we plan to reuse it further down a…

Databases · Computer Science 2018-03-28 Shaleen Deep , Paraschos Koutris

Given a static reference string $R$ and a source string $S$, a relative compression of $S$ with respect to $R$ is an encoding of $S$ as a sequence of references to substrings of $R$. Relative compression schemes are a classic model of…

Data Structures and Algorithms · Computer Science 2016-09-19 Philip Bille , Patrick Hagge Cording , Inge Li Gørtz , Frederik Rye Skjoldjensen , Hjalte Wedel Vildhøj , Søren Vind

The Binary Search Tree (BST) is average in computer science which supports a compact data structure in memory and oneself even conducts a row of quick algorithms, by which people often apply it in dynamical circumstance. Besides these…

Data Structures and Algorithms · Computer Science 2018-10-05 Yong Tan

Dynamic network data are now available in a wide range of contexts and domains. Several representation formalisms exist to represent dynamic networks, but there is no well-known method to choose one representation over another for a given…

Social and Information Networks · Computer Science 2020-10-15 Remy Cazabet

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
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