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25 April 2024
 
  » arxiv » cond-mat/0408443

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Complex Networks on Hyperbolic Surfaces
T. Aste ; T. Di Matteo ; S. T. Hyde ;
Date 20 Aug 2004
Journal Physica A 346 (2005) 20-26
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractWe 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.
Source arXiv, cond-mat/0408443
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