Coupled Growing Networks

Details Coupled Growing Networks Coupled Growing Networks

2001-12-04

arxiv.org/abs/cond-mat/0112052v2

Physics

Condensed Matter

Statistical Mechanics

11 pages including 1 figures, corrected typos

Scientific paper

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 of \emph{the web of human sexual contacts}.

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