Optimal Degree Distribution of Scale-Free Networks

This paper discusses the robustness of scale-free networks based on the degree optimization, and two optimal schemes about two-step degree and entropy of degree distribution are given to analyze the connectivity of scale-free networks. By reconstructing two optimal schemes, the optimal values about the corresponding parameters can be obtained, and the optimal design program can also be presented in this paper. Because these two optimal programs are used to investigate the homogeneity of degree distribution, therefore the optimal values can also be adopted to assess the robustness of scale-free networks.