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Universal relation for transport in non-sparse complex networks |
| Wang Yan (王延)a, Yang Xiao-Rong (杨晓荣)b |
a School of Petroleum Engineering, China University of Petroleum, Beijing 102249, China;
b School of Science, Tibet University, Lhasa 850000, China |
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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.
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Received: 02 April 2015
Revised: 10 June 2015
Accepted manuscript online:
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PACS:
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89.75.Hc
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(Networks and genealogical trees)
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05.60.Cd
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(Classical transport)
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| 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
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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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