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Complex networks: Structure and dynamics
Synchronization in complex networks
- Mikko Kivelä, A. Arenas, M. Barthelemy, J. Gleeson, Y. Moreno, M. Porter
- Computer ScienceJ. Complex Networks
- 27 September 2013
This chapter shows how interconnected multilayer topology describes such networks more accurately than edge coloring does and introduces the tensor formalism used to construct them.
Epidemic outbreaks in complex heterogeneous networks
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.
Mathematical Formulation of Multilayer Networks
This paper introduces a tensorial framework to study multilayer networks, and discusses the generalization of several important network descriptors and dynamical processes—including degree centrality, clustering coefficients, eigenvectorcentrality, modularity, von Neumann entropy, and diffusion—for this framework.
Theory of Rumour Spreading in Complex Social Networks
The Dynamics of Protest Recruitment through an Online Network
- Sandra González-Bailón, J. Borge-Holthoefer, Alejandro Rivero, Y. Moreno
- EconomicsScientific reports
- 23 November 2011
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.
Diffusion dynamics on multiplex networks
- S. Gómez, A. Díaz-Guilera, J. Gómez-Gardeñes, C. P. Vicente, Y. Moreno, A. Arenas
- Computer Science, MathematicsPhysical review letters
- 11 July 2012
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.
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 process…