Finite size effects in Barabasi-Albert growing networks

Details Finite size effects in Barabasi-Albert growing networks Finite size effects in Barabasi-Albert growing networks

2006-09-28

arxiv.org/abs/cond-mat/0609728v2

Phys. Rev. E 75, 056114 (2007)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures

Scientific paper

10.1103/PhysRevE.75.056114

We investigate the influence of the network's size on the degree distribution in Barabasi-Albert model of growing network with initial attractiveness. Our approach based on spectral moments allows to treat analytically several variants of the model and to calculate the cut-off function giving finite size corrections to the degree distribution. We study the effect of initial configuration as well as of addition more than one link per time step. The results indicate that asymptotic properties of the cut-off depend only on the exponent in the power law describing the tail of the degree distribution.

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