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Degree Distributions of Growing Networks

P. L. Krapivsky·G. J. Rodgers·S. Redner
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Abstract

The in-degree and out-degree distributions of a growing network model are determined. The in-degree is the number of incoming links to a given node (and vice versa for out-degree. The network is built by (i) creation of new nodes which each immediately attach to a pre-existing node, and (ii) creation of new links between pre-existing nodes. This process naturally generates correlated in- and out-degree distributions. When the node and link creation rates are linear functions of node degree, these distributions exhibit distinct power-law forms. By tuning the parameters in these rates to reasonable values, exponents which agree with those of the web graph are obtained.

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BibTeXRIS

P. L. Krapivsky, G. J. Rodgers, S. Redner. 2001-06-04. Degree Distributions of Growing Networks. https://doi.org/10.1103/physrevlett.86.5401

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