Structure of growing networks with preferential linking.

@article{Dorogovtsev2000StructureOG,
  title={Structure of growing networks with preferential linking.},
  author={Sergey N. Dorogovtsev and Jos{\'e} F. F. Mendes and Alexander N. Samukhin},
  journal={Physical review letters},
  year={2000},
  volume={85 21},
  pages={
          4633-6
        }
}
The model of growing networks with the preferential attachment of new links is generalized to include initial attractiveness of sites. We find the exact form of the stationary distribution of the number of incoming links of sites in the limit of long times, P(q), and the long-time limit of the average connectivity q(s,t) of a site s at time t (one site is added per unit of time). At long times, P(q) approximately q(-gamma) at q-->infinity and q(s,t) approximately (s/t)(-beta) at s/t-->0, where… 

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