20 citations · 59 across the 11 of their papers we have counts for
8 papers · 1 filter
Graph-Based Multivariate Multiscale Dispersion Entropy: Efficient Implementation and Applications to Real-World Network Data
John Stewart Fabila-Carrasco, Chao Tan, Javier Escudero
We introduce Multivariate Multiscale Graph-based Dispersion Entropy (mvDEG), a novel, computationally efficient method for analyzing multivariate time series data in graph and comp…
Dispersion entropy: A Measure of Irregularity for Graph Signals
John Stewart Fabila-Carrasco, Chao Tan, Javier Escudero
We introduce a novel method, called Dispersion Entropy for Graph Signals, , as a powerful tool for analysing the irregularity of signals defined on graphs. We demonstrate the…
Isospectral graphs via spectral bracketing
Fernando Lledó, John S. Fabila-Carrasco, Olaf Post
In this article, we develop a perturbative technique to construct families of non-isomorphic discrete graphs which are isospectral for the standard (also called normalised) Laplaci…
Multivariate permutation entropy, a Cartesian graph product approach
John Stewart Fabila-Carrasco, Chao Tan, Javier Escudero
Entropy metrics are nonlinear measures to quantify the complexity of time series. Among them, permutation entropy is a common metric due to its robustness and fast computation. Mul…
Permutation Entropy for Graph Signals
John Stewart Fabila-Carrasco, Chao Tan, Javier Escudero
Entropy metrics (for example, permutation entropy) are nonlinear measures of irregularity in time series (one-dimensional data). Some of these entropy metrics can be generalised to…
Matching number, Hamiltonian graphs and discrete magnetic Laplacians
J. S. Fabila-Carrasco, Fernando Lledó, Olaf Post
In this article, we relate the spectrum of the discrete magnetic Laplacian (DML) on a finite simple graph with two structural properties of the graph: the existence of a perfect ma…
Spectral preorder and perturbations of discrete weighted graphs
John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post
In this article, we introduce a geometric and a spectral preorder relation on the class of weighted graphs with a magnetic potential. The first preorder is expressed through the ex…
Spectral gaps and discrete magnetic Laplacians
John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post
The aim of this article is to give a simple geometric condition that guarantees the existence of spectral gaps of the discrete Laplacian on periodic graphs. For proving this, we an…