Scaling of directed dynamical small-world networks with random responses.

@article{Zhu2004ScalingOD,
  title={Scaling of directed dynamical small-world networks with random responses.},
  author={Chen-Ping Zhu and Shi-Jie Xiong and Ying-jie Tian and Nan Li and Ke-Sheng Jiang},
  journal={Physical review letters},
  year={2004},
  volume={92 21},
  pages={
          218702
        }
}
A dynamical model of small-world networks, with directed links which describe various correlations in social and natural phenomena, is presented. Random responses of sites to the input message are introduced to simulate real systems. The interplay of these ingredients results in the collective dynamical evolution of a spinlike variable S(t) of the whole network. The global average spreading length (s) and average spreading time (s) are found to scale as p(-alpha)ln(N with different exponents… CONTINUE READING