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The Structure of Complex NetworksTheory and Applications$
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Ernesto Estrada

Print publication date: 2011

Print ISBN-13: 9780199591756

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199591756.001.0001

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Expansion and network classes

Expansion and network classes

Chapter:
(p.171) 9 Expansion and network classes
Source:
The Structure of Complex Networks
Author(s):

Ernesto Estrada

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199591756.003.0009

This chapter discusses the concepts of network expansibility and isoperimetric analysis of networks. It covers the relation between good expansion properties and the network spectra; the different classes of networks that exist according to their global organisation of nodes and links; the spectral scaling method that determines whether a network displays good expansion or not; and four universal structural classes of networks characterised based on the scaling between the eigenvector and subgraph centrality. Several examples from the real-world of these classes are provided.

Keywords:   good expansion, isoperimetric constant, alon-milman theorem, spectral scaling, universal structural classes, network holes

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