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Coupled Growing Networks

Author

Listed:
  • DAFANG ZHENG

    (Department of Physics, Zheijiang University, Hangzhou 310027, P. R. China;
    Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex UB8 3PH, UK)

  • GÜLER ERGÜN

    (Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex UB8 3PH, UK)

Abstract

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in both networks. The model segregates the links in the networks as intra-links, cross-links and mix-links. The corresponding degree distributions of these links are found to be power-laws with exponents having coupled parameters for intra- and cross-links. In the weak coupling case, the model reduces to a simple citation network. As for the strong coupling, it mimics the mechanism ofthe web of human sexual contacts.

Suggested Citation

  • Dafang Zheng & Güler Ergün, 2003. "Coupled Growing Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 507-514.
    • Handle: RePEc:wsi:acsxxx:v:06:y:2003:i:04:n:s0219525903001080
    DOI: 10.1142/S0219525903001080
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    Cited by:

    1. Zhong, Li-Xin & Xu, Wen-Juan & Chen, Rong-Da & Qiu, Tian & Shi, Yong-Dong & Zhong, Chen-Yang, 2015. "Coupled effects of local movement and global interaction on contagion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 482-491.

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