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The Role Of Geography And Traffic In The Structure Of Complex Networks

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  • MARC BARTHÉLEMY

    (School of Informatics and Biocomplexity Center, Indiana University, Bloomington, IN 47406, USA)

  • ALAIN BARRAT

    (Laboratoire de Physique Théorique (UMR du CNRS 8627), Bâtiment 210, Université de Paris-Sud 91405 Orsay, France)

  • ALESSANDRO VESPIGNANI

    (School of Informatics and Biocomplexity Center, Indiana University, Bloomington, IN 47406, USA)

Abstract

We report a study of the correlations among topological, weighted and spatial properties of large infrastructure networks. We review the empirical results obtained for the air-transportation infrastructure that motivates a network modeling approach which integrates the various attributes of this network. In particular, we describe a class of models which include a weight-topology coupling and the introduction of geographical attributes during the network evolution. The inclusion of spatial features is able to capture the appearance of non-trivial correlations between the traffic flows, the connectivity pattern and the actual distances of vertices. The anomalous fluctuations in the betweenness-degree correlation function observed in empirical studies are also recovered in the model. The presented results suggest that the interplay between topology, weights and geographical constraints is a key ingredient in order to understand the structure and evolution of many real-world networks.

Suggested Citation

  • Marc Barthélemy & Alain Barrat & Alessandro Vespignani, 2007. "The Role Of Geography And Traffic In The Structure Of Complex Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 5-28.
    • Handle: RePEc:wsi:acsxxx:v:10:y:2007:i:01:n:s021952590700091x
    DOI: 10.1142/S021952590700091X
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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    Cited by:

    1. Gopal R. Patil & B. K. Bhavathrathan, 2016. "Effect Of Traffic Demand Variation On Road Network Resilience," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 19(01n02), pages 1-18, February.
    2. Ghosh, Saptarshi & Banerjee, Avishek & Ganguly, Niloy, 2012. "Some insights on the recent spate of accidents in Indian Railways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(9), pages 2917-2929.

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