A general model for collaboration networks

Details A general model for collaboration networks A general model for collaboration networks

2005-02-10

arxiv.org/abs/cond-mat/0502253v2

Int. J. Mod. Phys. C 18: 297-314 (2007)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 10 figures

Scientific paper

10.1142/S0129183107010437

In this paper, we propose a general model for collaboration networks. Depending on a single free parameter "{\bf preferential exponent}", this model interpolates between networks with a scale-free and an exponential degree distribution. The degree distribution in the present networks can be roughly classified into four patterns, all of which are observed in empirical data. And this model exhibits small-world effect, which means the corresponding networks are of very short average distance and highly large clustering coefficient. More interesting, we find a peak distribution of act-size from empirical data which has not been emphasized before of some collaboration networks. Our model can produce the peak act-size distribution naturally that agrees with the empirical data well.

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