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We introduce a compressed data structure for the storage of free trajectories of moving objects (such as ships and planes) that efficiently supports various spatio-temporal queries. Our structure, dubbed GraCT, stores the absolute positions…

Data Structures and Algorithms · Computer Science 2019-11-12 Nieves R. Brisaboa , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

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 compressed data structure to store free trajectories of moving objects (ships over the sea, for example) allowing spatio-temporal queries. Our method, GraCT, uses a $k^2$-tree to store the absolute positions of all objects at…

Data Structures and Algorithms · Computer Science 2016-12-13 Nieves R. Brisaboa , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

We introduce a dynamic data structure for the compact representation of binary relations $\mathcal{R} \subseteq A \times B$. The data structure is a dynamic variant of the k$^2$-tree, a static compact representation that takes advantage of…

Data Structures and Algorithms · Computer Science 2017-07-11 Nieves R. Brisaboa , Ana Cerdeira-Pena , Guillermo de Bernardo , Gonzalo Navarro

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

In this work, we propose a framework to store and manage spatial data, which includes new efficient algorithms to perform operations accepting as input a raster dataset and a vector dataset. More concretely, we present algorithms for…

Data Structures and Algorithms · Computer Science 2020-04-07 Fernando Silva-Coira , José R. Paramá , Susana Ladra , Juan R. López , Gilberto Gutiérrez

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

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

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

We present a new compressed representation of free trajectories of moving objects. It combines a partial-sums-based structure that retrieves in constant time the position of the object at any instant, with a hierarchical…

Data Structures and Algorithms · Computer Science 2017-10-06 Nieves R. Brisaboa , Travis Gagie , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

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

LRM-Trees are an elegant way to partition a sequence of values into sorted consecutive blocks, and to express the relative position of the first element of each block within a previous block. They were used to encode ordinal trees and to…

Data Structures and Algorithms · Computer Science 2010-09-30 Jérémy Barbay , Johannes Fischer

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 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

The task of accumulating a portion of a list of values, whose values may be updated at any time, is widely used throughout various applications in computer science. While it is trivial to accomplish this task without any constraints,…

Data Structures and Algorithms · Computer Science 2025-02-12 Nicholas J. C. Papadopoulos

With the rapid development of mobile computing and Web services, a huge amount of data with spatial and temporal information have been collected everyday by smart mobile terminals, in which an object is described by its spatial information…

Databases · Computer Science 2018-05-15 Jun Long , Lei Zhu , Chengyuan Zhang , Shuangqiao Lin , Zhan Yang , Xinpan Yuan

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

We present a compact data structure to represent both the duration and length of homogeneous segments of trajectories from moving objects in a way that, as a data warehouse, it allows us to efficiently answer cumulative queries. The…

Data Structures and Algorithms · Computer Science 2020-03-02 Nieves R. Brisaboa , Antonio Fariña , Gonzalo Navarro , Tirso V. Rodeiro

In this paper, a new and novel data structure is proposed to dynamically insert and delete segments. Unlike the standard segment trees[3], the proposed data structure permits insertion of a segment with interval range beyond the interval…

Computational Geometry · Computer Science 2015-01-15 K. S. Easwarakumar , T. Hema

Establishing the correspondences between newly acquired points and historically accumulated data (i.e., map) through nearest neighbors search is crucial in numerous robotic applications. However, static tree data structures are inadequate…

Robotics · Computer Science 2024-03-01 Jun Zhu , Hongyi Li , Zhepeng Wang , Shengjie Wang , Tao Zhang
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