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Multilayer NetworksStructure and Function$
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Ginestra Bianconi

Print publication date: 2018

Print ISBN-13: 9780198753919

Published to Oxford Scholarship Online: July 2018

DOI: 10.1093/oso/9780198753919.001.0001

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The Dynamics on Single Networks

The Dynamics on Single Networks

Chapter:
(p.47) 3 The Dynamics on Single Networks
Source:
Multilayer Networks
Author(s):

Ginestra Bianconi

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198753919.003.0003

This chapter provides the relevant background on the network dynamics of complex networks formed by just one layer (single networks). Emergent properties of network dynamics are characterized using the framework of phase transitions. The major results on robustness of complex networks, percolation theory and epidemic spreading are presented, revealing the rich interplay between network structure and function. In this context particular emphasis is given to the implications of the scale-free network topology on these dynamical processes. Diffusion processes and synchronization and controllability are characterized on networks, revealing the relevance of spectral properties and peripheral nodes for determining their dynamical behaviour.

Keywords:   network dynamics, emergent property, phase transition, robustness, percolation, network structure and function, epidemic spreading, diffusion, synchronization, network control

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