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Complex networks: Structure and dynamics
Coupled biological and chemical systems, neural networks, social interacting species, the Internet and the World Wide Web, are only a few examples of systems composed by a large number of highlyExpand
Multilayer networks
TLDR
The history of multilayer networks (and related concepts) is discussed and the exploding body of work on such networks is reviewed and attempts to generalize single-layer-network diagnostics to multilayers networks are reviewed. Expand
Synchronization in complex networks
TLDR
The advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology are reported and the new emergent features coming out from the interplay between the structure and the function of the underlying pattern of connections are overviewed. Expand
Epidemic outbreaks in complex heterogeneous networks
TLDR
The large connectivity fluctuations usually found in these networks strengthen considerably the incidence of epidemic outbreaks and defines a new epidemiological framework characterized by a highly heterogeneous response of the system to the introduction of infected individuals with different connectivity. Expand
Mathematical Formulation of Multilayer Networks
A network representation is useful for describing the structure of a large variety of complex systems. However, most real and engineered systems have multiple subsystems and layers of connectivity,Expand
The Dynamics of Protest Recruitment through an Online Network
TLDR
It is found that early participants cannot be characterized by a typical topological position but spreaders tend to be more central in the network and shed light on the connection between online networks, social contagion, and collective dynamics. Expand
Theory of Rumour Spreading in Complex Social Networks
We introduce a general stochastic model for the spread of rumours, and derive mean-field equations that describe the dynamics of the model on complex social networks (in particular, those mediated byExpand
Discrete-time Markov chain approach to contact-based disease spreading in complex networks
Many epidemic processes in networks spread by stochastic contacts among their connected vertices. There are two limiting cases widely analyzed in the physics literature, the so-called contact processExpand
Broadcasters and Hidden Influentials in Online Protest Diffusion
This article explores the growth of online mobilizations using data from the indignados (outraged) movement in Spain, which emerged under the influence of the revolution in Egypt and as a precursorExpand
Diffusion dynamics on multiplex networks
TLDR
P perturbative analysis is used to reveal analytically the structure of eigenvectors and eigenvalues of the complete network in terms of the spectral properties of the individual layers of the multiplex network, and allows us to understand the physics of diffusionlike processes on top of multiplex networks. Expand
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