Truncation of power law behavior in "scale-free" network models due to information filtering

Details Truncation of power law behavior in "scale-free" network models due to information filtering Truncation of power law behavior in "scale-free" network models due to information filtering

2002-01-23

arxiv.org/abs/cond-mat/0201421v1

Phys. Rev. Lett 88, 138701 (2002)

Physics

Condensed Matter

Statistical Mechanics

LaTeX2e and RevTeX4, 4 pages, 4 figures. Accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.88.138701

We formulate a general model for the growth of scale-free networks under filtering information conditions--that is, when the nodes can process information about only a subset of the existing nodes in the network. We find that the distribution of the number of incoming links to a node follows a universal scaling form, i.e., that it decays as a power law with an exponential truncation controlled not only by the system size but also by a feature not previously considered, the subset of the network ``accessible'' to the node. We test our model with empirical data for the World Wide Web and find agreement.

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