Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9727883 | Physica A: Statistical Mechanics and its Applications | 2005 | 15 Pages |
Abstract
Several studies on real complex networks from different fields as biology, economy, or sociology have shown that the degree of nodes (number of edges connected to each node) follows a scale-free power-law distribution like P(k)âk-γ, where P(k) denotes the frequency of the nodes that are connected to k other nodes. Here we have carried out a study on scale-free networks, where a line graph transformation (i.e., edges in an initial network are transformed into nodes) is applied on a power-law distribution. Our results indicate that a power-law distribution as P(k)âk-γ+1 is found for the transformed network together with a peak for low-degree nodes. In the present work, we show a parametrization of this behaviour and discuss its application on real networks as metabolic networks, protein-protein interaction network and World Wide Web.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
J.C. Nacher, T. Yamada, S. Goto, M. Kanehisa, T. Akutsu,