Figure 6
Dependence of the percolation transition point on the tolerance parameter. (a) For the star-like system, there are two critical points: \({\alpha }_{c}^{I}\approx 0.6513\) and \({\alpha }_{c}^{II}\approx 0.8337\), which divides the α interval into three subregions with distinct transition behaviors. (b) For the tree-like system, there are three critical points: \({\alpha }_{c}^{I}\approx 0.6339\), \({\alpha }_{c}^{II}\approx 0.7894\) and \({\alpha }_{c}^{III}\approx 0.8614\), which divide the α interval into four subregions. The solid lines represent the theoretical predictions and the symbols are simulation results based on the Newman-Ziff bond percolation algorithm. Each data point is the averaging result of 20 network realizations. The network size is N = 105.
