Complex networks on hyperbolic surfaces

T. Aste; T. Di Matteo; S. T. Hyde

doi:10.1016/j.physa.2004.08.045

Complex networks on hyperbolic surfaces

T. Aste^*, T. Di Matteo, S. T. Hyde

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

100 Citations (Scopus)

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.

Original language	English
Pages (from-to)	20-26
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	346
Issue number	1-2 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.physa.2004.08.045
Publication status	Published - 1 Feb 2005

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10.1016/j.physa.2004.08.045

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title = "Complex networks on hyperbolic surfaces",

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 = "Complex systems, Econophysics, Hyperbolic graphs, Networks",

author = "T. Aste and {Di Matteo}, T. and Hyde, {S. T.}",

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AU - Hyde, S. T.

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AB - 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.

KW - Complex systems

KW - Econophysics

KW - Hyperbolic graphs

KW - Networks

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DO - 10.1016/j.physa.2004.08.045

M3 - Article

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EP - 26

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2 SPEC. ISS.

ER -

Complex networks on hyperbolic surfaces

Abstract

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