20 citations · 59 across the 11 of their papers we have counts for
13 papers
Sample entropy for graph signals: An approach to nonlinear dynamic analysis of data on networks
Mei-San Maggie Lei, John Stewart Fabila Carrasco, Javier Escudero
The recent extension of permutation entropy and its derivatives to graph signals has opened up new horizons for the analysis of complex, high-dimensional systems evolving on networ…
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…
Graph-Based Permutation Patterns for the Analysis of Task-Related fMRI Signals on DTI Networks in Mild Cognitive Impairment
John Stewart Fabila-Carrasco, Avalon Campbell-Cousins, Mario A. Parra-Rodriguez +1
Permutation Entropy () is a powerful nonlinear analysis technique for univariate time series. Recently, Permutation Entropy for Graph signals () has been proposed to exten…
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…
A noise-robust Multivariate Multiscale Permutation Entropy for two-phase flow characterisation
John Stewart Fabila-Carrasco, Chao Tan, Javier Escudero
Using a graph-based approach, we propose a multiscale permutation entropy to explore the complexity of multivariate time series over multiple time scales. This multivariate multisc…
A geometric construction of isospectral magnetic graphs
John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post
We present a geometrical construction of families of finite isospectral graphs labelled by different partitions of a natural number of given length (the number of summands)…
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…
Covering graphs, magnetic spectral gaps and applications to polymers and nanoribbons
John Stewart Fabila-Carrasco, Fernando Lledó
In this article, we analyze the spectrum of discrete magnetic Laplacians (DML) on an infinite covering graph with (Abelian) lattice g…
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…