The Kuramoto model in complex networks

FA Rodrigues, TKDM Peron, P Ji, J Kurths - Physics Reports, 2016 - Elsevier
Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Operationalizing network theory for ecosystem service assessments

LE Dee, S Allesina, A Bonn, A Eklöf, SD Gaines… - Trends in ecology & …, 2017 - cell.com
Managing ecosystems to provide ecosystem services in the face of global change is a
pressing challenge for policy and science. Predicting how alternative management actions …

Eigenvector centrality of nodes in multiplex networks

L Solá, M Romance, R Criado, J Flores… - … Journal of Nonlinear …, 2013 - pubs.aip.org
We extend the concept of eigenvector centrality to multiplex networks, and introduce several
alternative parameters that quantify the importance of nodes in a multi-layered networked …

Correlation and network analysis of global financial indices

S Kumar, N Deo - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
Random matrix theory (RMT) and network methods are applied to investigate the correlation
and network properties of 20 financial indices. The results are compared before and during …

Total communicability as a centrality measure

M Benzi, C Klymko - Journal of Complex Networks, 2013 - academic.oup.com
We examine node centrality measures based on the notion of total communicability, defined
in terms of the row sums of matrix functions of the adjacency matrix of the network. Our main …

Communicability across evolving networks

P Grindrod, MC Parsons, DJ Higham, E Estrada - Physical Review E …, 2011 - APS
Many natural and technological applications generate time-ordered sequences of networks,
defined over a fixed set of nodes; for example, time-stamped information about “who phoned …

Quantifying network heterogeneity

E Estrada - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
Despite degree distributions give some insights about how heterogeneous a network is, they
fail in giving a unique quantitative characterization of network heterogeneity. This is …

Ranking hubs and authorities using matrix functions

M Benzi, E Estrada, C Klymko - Linear Algebra and its Applications, 2013 - Elsevier
The notions of subgraph centrality and communicability, based on the exponential of the
adjacency matrix of the underlying graph, have been effectively used in the analysis of …

A new approach to combine multiplex networks and time series attributes: Building intrusion detection systems (IDS) in cybersecurity

SI Pérez, S Moral-Rubio, R Criado - Chaos, Solitons & Fractals, 2021 - Elsevier
Abstract Intrusion Detection Systems (IDS) are fundamental tools in cybersecurity
environments. In this paper, we present a new methodology for the creation of intrusion …

Graph characterizations from von Neumann entropy

L Han, F Escolano, ER Hancock, RC Wilson - Pattern Recognition Letters, 2012 - Elsevier
In this paper we explore how the von Neumann entropy can be used as a measure of graph
complexity. We also develop a simplified form for the von Neumann entropy of a graph that …