A New Cascading Model on Scale-Free Network with Tunable Parameter

In this paper, we examine the cascading failure on BA networks with scale-free property based on a load redistribution rule. Assuming that the robustness is quantified by the critical threshold T_c, at which a phase transition occurs from normal state to collapse, we find the strongest robustness against cascading failures in the case of alpha =1, which is a tunable parameter in our model. We further discuss the correlations between the average degree <k> of BA network and T_c, and draw the conclusion that T_c has a negative correlation with the average degree <k>, i.e., the bigger the value of <k>, the smaller the critical threshold T_c. These results may be very helpful for real-life networks to avoid cascading-failure-induced disasters.