Non-Homogeneous Fractal Hierarchical Weighted Networks

Yujuan Dong, Meifeng Dai and Dandan Ye

PLOS ONE, 2015, vol. 10, issue 4, 1-13

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0121946

DOI: 10.1371/journal.pone.0121946

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