Complex networks on hyperbolic surfaces

T. Aste, T. Di Matteo and S.T. Hyde

Physica A: Statistical Mechanics and its Applications, 2005, vol. 346, issue 1, 20-26

Abstract: 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 properties and the embedding surface.

Keywords: Networks; Complex systems; Hyperbolic graphs; Econophysics (search for similar items in EconPapers)
Date: 2005
References: View complete reference list from CitEc
Citations: View citations in EconPapers (26)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:346:y:2005:i:1:p:20-26

DOI: 10.1016/j.physa.2004.08.045

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