Modeling and verifying a broad array of network properties

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Published 28 April 2009 Europhysics Letters Association
, , Citation V. Filkov et al 2009 EPL 86 28003 DOI 10.1209/0295-5075/86/28003

0295-5075/86/2/28003

Abstract

Motivated by widely observed examples in nature, society and software, where groups of related nodes arrive together and attach to existing networks, we consider network growth via sequential attachment of linked node groups or graphlets. We analyze the simplest case, attachment of the three node -graphlet, where, with probability α, we attach a peripheral node of the graphlet, and with probability (1-α), we attach the central node. Our analytical results and simulations show that tuning α produces a wide range in degree distribution and degree assortativity, achieving assortativity values that capture a diverse set of many real-world systems. We introduce a fifteen-dimensional attribute vector derived from seven well-known network properties, which enables comprehensive comparison between any two networks. Principal Component Analysis of this attribute vector space shows a significantly larger coverage potential of real-world network properties by a simple extension of the above model when compared against a classic model of network growth.

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