Temporal effects in the growth of networks

Details Temporal effects in the growth of networks Temporal effects in the growth of networks

2011-09-26

arxiv.org/abs/1109.5560v1

Physical Review Letters 107, 238701, 2011

Physics

Physics and Society

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.107.238701

We show that to explain the growth of the citation network by preferential attachment (PA), one has to accept that individual nodes exhibit heterogeneous fitness values that decay with time. While previous PA-based models assumed either heterogeneity or decay in isolation, we propose a simple analytically treatable model that combines these two factors. Depending on the input assumptions, the resulting degree distribution shows an exponential, log-normal or power-law decay, which makes the model an apt candidate for modeling a wide range of real systems.

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