Dynamic scaling, data-collapse and self-similarity in Barabási and Albert networks

@article{Hassan2011DynamicSD,
  title={Dynamic scaling, data-collapse and self-similarity in Barab{\'a}si and Albert networks},
  author={M. K. Hassan and M. Hassan and N. I. Pavel},
  journal={ArXiv},
  year={2011},
  volume={abs/1101.4730}
}
In this paper, we show that if each node of the Barabasi–Albert (BA) network is characterized by the generalized degree q, i.e. the product of their degree k and the square root of their respective birth time, then the distribution function F(q, t) exhibits dynamic scaling F(q, t → ∞) ~ t−1/2(q/t1/2) where (x) is the scaling function. We verified it by showing that a series of distinct F(q, t) versus q curves for different network sizes N collapse onto a single universal curve if we plot t1/2F… Expand
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