Coupled Growing Networks

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 intraand 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 the web of human sexual contacts. PACS numbers: 02.50.cw, 05.40.-a, 89.75Hc. Typeset using REVTEX ∗e-mail: [email protected]