Degree Distributions of Growing Networks

Details Degree Distributions of Growing Networks Degree Distributions of Growing Networks

2000-12-11

arxiv.org/abs/cond-mat/0012181v2

Phys. Rev. Lett. 86, 5401-5404 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, 2-column revtex format

Scientific paper

10.1103/PhysRevLett.86.5401

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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