Localized percolation refers to removing a node its neighbors, next nearest neighbors etc. until a fraction of <math>1-p</math> of nodes from the network is removed. It was shown that for random graph with Poisson distribution of degrees <math>p_c=\tfrac{1}{\langle k\rangle}</math> exactly as for random removal. For other types of degree distributions <math>p_c</math> for localized attack is different from random attack | Localized percolation refers to removing a node its neighbors, next nearest neighbors etc. until a fraction of <math>1-p</math> of nodes from the network is removed. It was shown that for random graph with Poisson distribution of degrees <math>p_c=\tfrac{1}{\langle k\rangle}</math> exactly as for random removal. For other types of degree distributions <math>p_c</math> for localized attack is different from random attack |