Clustering and the Hyperbolic Geometry of Complex Networks

3 years 16 days ago
Clustering and the Hyperbolic Geometry of Complex Networks
Clustering is a fundamental property of complex networks and it is the mathematical expression of a ubiquitous phenomenon that arises in various types of self-organized networks such as biological networks, computer networks or social networks. In this paper, we consider what is called the global clustering coefficient of random graphs on the hyperbolic plane. This model of random graphs was proposed recently by Krioukov et al. [22] as a mathematical model of complex networks, implementing the assumption that hyperbolic geometry underlies the structure of these networks. We do a rigorous analysis of clustering and characterize the global clustering coefficient in terms of the parameters of the model. We show how the global clustering coefficient can be tuned by these parameters, giving an explicit formula.
Elisabetta Candellero, Nikolaos Fountoulakis
Added 05 Apr 2016
Updated 05 Apr 2016
Type Journal
Year 2016
Where IM
Authors Elisabetta Candellero, Nikolaos Fountoulakis
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