A directed network model for World-Wide Web

Details A directed network model for World-Wide Web A directed network model for World-Wide Web

2005-10-07

arxiv.org/abs/physics/0510064v1

Physica A 371, 861-869 (2006)

Physics

Physics and Society

5 pages, 5 eps figures

Scientific paper

10.1016/j.physa.2006.03.054

In this paper, a directed network model for world-wide web is presented. The out-degree of the added nodes are supposed to be scale-free and its mean value is $m$. This model exhibits small-world effect, which means the corresponding networks are of very short average distance and highly large clustering coefficient. More interesting, the in-degree distribution obeys the power-law form with the exponent $\gamma=2+1/m$, depending on the average out-degree. This finding is supported by the empirical data, which has not been emphasized by the previous studies on directed networks.

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