title: Non-homogeneous fractal hierarchical weighted networks.
abstract: 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 r1, r2, · · · rM. 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.
authors: Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, China.
authors: Yujuan
authors: Y
authors: Dong
authors: Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, China.
authors: Meifeng
authors: M
authors: Dai
authors: Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, China.
authors: Dandan
authors: D
authors: Ye
mesh_terms: D017709:Fractals