Modeling cascading failures in complex networks based on radiate circle

摘要: Abstract This article introduces a new approach for defining the initial load of node in network and investigate how to allocate so as maximize robustness against cascading failures minimize protection cost. Motivated by radiate circle network, we define i be L = ( k ) α 0 ∑ 1 ∈ Γ 2 … n − with being degree set its neighboring nodes, respectively, where , are tunable parameters, governing strength load, generally D which represents diameter network. According definition local preferential redistribution mechanism failed node, construct model. We then present exact analytical solutions critical threshold β c metric robustness, there should evidently exist some crossover behavior system from large scale breakdown no breakdown. Surprisingly, both analytically numerically, find that, when + ⋯ all networks degree–degree correlation can reach strongest robust level has positive average Our findings highlight obtain robustness.