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Non-Homogeneous Fractal Hierarchical Weighted 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 N(k) and the non-homogeneous weight scaling...

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Detalles Bibliográficos
Autores principales: Dong, Yujuan, Dai, Meifeng, Ye, Dandan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4388559/
https://www.ncbi.nlm.nih.gov/pubmed/25849619
http://dx.doi.org/10.1371/journal.pone.0121946
Descripción
Sumario: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 N(k) 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.