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Complex networks on hyperbolic surfaces

Author

Listed:
  • Aste, T.
  • Di Matteo, T.
  • Hyde, S.T.

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.

Suggested Citation

  • Aste, T. & Di Matteo, T. & Hyde, S.T., 2005. "Complex networks on hyperbolic surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(1), pages 20-26.
    • Handle: RePEc:eee:phsmap:v:346:y:2005:i:1:p:20-26
    DOI: 10.1016/j.physa.2004.08.045
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