Two complementary representations of a scale-free network

J.C. Nacher, T. Yamada, S. Goto, M. Kanehisa and T. Akutsu

Physica A: Statistical Mechanics and its Applications, 2005, vol. 349, issue 1, 349-363

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)≈k-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)≈k-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.

Keywords: Scale-free networks; Disordered system; Metabolic networks; Critical phenomena (search for similar items in EconPapers)
Date: 2005
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:349:y:2005:i:1:p:349-363

DOI: 10.1016/j.physa.2004.09.013

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