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Optimization of spatial complex networks

Author

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  • Guillier, S.
  • Muñoz, V.
  • Rogan, J.
  • Zarama, R.
  • Valdivia, J.A.

Abstract

First, we estimate the connectivity properties of a predefined (fixed node locations) spatial network which optimizes a connectivity functional that balances construction and transportation costs. In this case we obtain a Gaussian distribution for the connectivity. However, when we consider these spatial networks in a growing process, we obtain a power law distribution for the connectivity. If the transportation costs in the functional involve the shortest geometrical path, we obtain a scaling exponent γ=2.5. However, if the transportation costs in the functional involve just the shortest path, we obtain γ=2.2. Both cases may be useful to analyze in some real networks.

Suggested Citation

  • Guillier, S. & Muñoz, V. & Rogan, J. & Zarama, R. & Valdivia, J.A., 2017. "Optimization of spatial complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 465-473.
    • Handle: RePEc:eee:phsmap:v:467:y:2017:i:c:p:465-473
    DOI: 10.1016/j.physa.2016.09.011
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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. Xia, Yongxiang & Wang, Cong & Shen, Hui-Liang & Song, Hainan, 2020. "Cascading failures in spatial complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    2. Wu, Tingwei & Xia, Yongxiang & Liang, Yuanyuan, 2024. "Load cascades in spatial networks: A sandpile model approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 644(C).
    3. Liang, Yuanyuan & Xia, Yongxiang & Yang, Xu-Hua, 2022. "Hybrid-radius spatial network model and its robustness analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).

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    Keywords

    Spatial networks; Traffic networks;

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