Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-08-20
Physica A 346 (2005) 20-26
Physics
Condensed Matter
Statistical Mechanics
8 Pages 3 Figures
Scientific paper
10.1016/j.physa.2004.08.045
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.
Aste Tomaso
Di Matteo Tiziana
Hyde Stephen T.
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