Coupled Growing Networks
Statistical Mechanics
2007-05-23 v2 Disordered Systems and Neural Networks
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 of \emph{the web of human sexual contacts}.
Cite
@article{arxiv.cond-mat/0112052,
title = {Coupled Growing Networks},
author = {Dafang Zheng and Guler Ergun},
journal= {arXiv preprint arXiv:cond-mat/0112052},
year = {2007}
}
Comments
11 pages including 1 figures, corrected typos