Non-Homogeneous Fractal Hierarchical Weighted Networks

作者：Dong, Yujuan; Dai, Meifeng^*; Ye, Dandan

来源：PLos One, 2015, 10(4): e0121946.

DOI：10.1371/journal.pone.0121946

• COMPLEX NETWORKS

A model of fractal hierarchical structures that share the property of non-homogeneous weighted networks is introduced. These networks can be completely and analytically characterized in terms of the involved parameters, i.e., the size of the original graph Nk and the non-homogeneous weight scaling factors r(1), r(2),..., r(M). We also study the average weighted shortest path (AWSP), the average degree and the average node strength, taking place on the non-homogeneous hierarchical weighted networks. Moreover the AWSP is scrupulously calculated. We show that the AWSP depends on the number of copies and the sum of all non-homogeneous weight scaling factors in the infinite network order limit.

• 出版日期2015-4-7
• 单位江苏大学