Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 346, Issue 1-2, Pages 20-26Publisher
ELSEVIER
DOI: 10.1016/j.physa.2004.08.045
Keywords
networks; complex systems; hyperbolic graphs; econophysics
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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. (C) 2004 Elsevier B.V. All rights reserved.
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