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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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Global network invariants

Global network invariants

(p.149) 8 Global network invariants
The Structure of Complex Networks

Ernesto Estrada

Oxford University Press

This chapter analyses several global structural invariants for networks. The discussions cover degree-based global invariants, such as degree centralisation and variance; graph irregularity and degree heterogeneity; network global density and sparseness; and some extensions of the concept of density to account for more local ‘rugosity’ of a network. Distance-based global invariants are presented and compared with the degree-based ones. The chapter continues with analyses of how clumped the most central nodes in a network are, and the concept of self-similarity in complex networks.

Keywords:   centralisation, graph irregularity, degree heterogeneity, heterogeneity plots, network density, clumpiness, networks self-similarity

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