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Complex networks on hyperbolic surfaces

Aste, Tomaso; Di Matteo, Tiziana; Hyde, Stephen

Description

We explore a novel method to generate and characterize complex networks by means of their embedding on hyperbolic surfaces. Evolution through local elementary moves allows the exploration of the ensemble of networks which share common embeddings and consequently share similar hierarchical properties. This method provides a new perspective to classify network-complexity both on local and global scale. We demonstrate by means of several examples that there is a strong relation between the network...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
URI: http://hdl.handle.net/1885/78249
Source: Physica A: Statistical mechanics and its applications
DOI: 10.1016/j.physa.2004.08.045

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