Generating-function approach for bond percolation in hierarchical networks.

@article{Hasegawa2010GeneratingfunctionAF,
  title={Generating-function approach for bond percolation in hierarchical networks.},
  author={Takehisa Hasegawa and Masataka Sato and Koji Nemoto},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={82 4 Pt 2},
  pages={046101}
}
We study bond percolations on hierarchical scale-free networks with the open bond probability of the shortcuts p and that of the ordinary bonds p. The system has a critical phase in which the percolating probability P takes an intermediate value 0 < P < 1. Using generating function approach, we calculate the fractal exponent ψ of the root clusters to show… CONTINUE READING