Abstract Transport properties of a complex network can be reflected by the two-point resistance between any pair of two nodes. We systematically investigate a variety of typical complex networks encountered in nature and technology, in which we assume each link has unit resistance, and we find for non-sparse network connections a universal relation exists that the two-point resistance is equal to the sum of the inverse degree of two nodes up to a constant. We interpret our observations by the localization property of the network’s Laplacian eigenvectors. The findings in this work can possibly be applied to probe transport properties of general non-sparse complex networks.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11305268 and 11465017).
Corresponding Authors:
Yang Xiao-Rong
E-mail: xzdxyr@sina.com
Cite this article:
Wang Yan (王延), Yang Xiao-Rong (杨晓荣) Universal relation for transport in non-sparse complex networks 2015 Chin. Phys. B 24 118902
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