COUPLED GROWING NETWORKS

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

Advances in Complex Systems (ACS), 2003, vol. 06, issue 04, 507-514

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.

Keywords: Coupled networks; inhomogenous links; preferential attachment; 02.50.cw; 05.40.-a; 89.75Hc (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219525903001080

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