Degree-ordered percolation on a hierarchical scale-free network.

@article{Lee2014DegreeorderedPO,
  title={Degree-ordered percolation on a hierarchical scale-free network.},
  author={Hyun Keun Lee and Pyoung-Seop Shim and Jae Dong Noh},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={89 6},
  pages={062816}
}
We investigate the critical phenomena of the degree-ordered percolation (DOP) model on the hierarchical (u,v) flower network with u ≤ v. Highest degree nodes are linked directly without intermediate nodes for u=1, while this is not the case for u ≠ 1. Using the renormalization-group-like procedure, we derive the recursion relations for the percolating probability and the percolation order parameter, from which the percolation threshold and the critical exponents are obtained. When u ≠ 1, the… CONTINUE READING