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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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Multilayer Network Models

Multilayer Network Models

Chapter:
(p.190) 10 Multilayer Network Models
Source:
Multilayer Networks
Author(s):

Ginestra Bianconi

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198753919.003.0010

This chapter presents the existing modelling frameworks for multiplex and multilayer networks. Multiplex network models are divided into growing multiplex network models and null models of multiplex networks. Growing multiplex networks are here shown to explain the main dynamical rules responsible to the emergent properties of multiplex networks, including the scale-free degree distribution, interlayer degree correlations and multilayer communities. Null models of multiplex networks are described in the context of maximum-entropy multiplex network ensembles. Randomization algorithms to test the relevant of network properties against null models are here described. Moreover, Multi-slice temporal networks Models capturing main properties of real temporal network data are presented. Finally, null models of general multilayer networks and networks of networks are characterized.

Keywords:   null model, randomization algorithm, maximum entropy, multiplex network ensemble, growing multiplex network, multi-slice network model, multi-slice temporal network, emergent property

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