Universal relation for transport in non-sparse complex networks  

作　　者：王延 杨晓荣 

机构地区：[1]School of Petroleum Engineering, China University of Petroleum,Beijing [2]School of Science, Tibet University

出　　处：《Chinese Physics B》2015年第11期643-649,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11305268 and 11465017)

摘　　要：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.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.

关 键 词：TRANSPORT complex networks two-point resistor Laplacian eigenvectors 

分 类 号：O157.5[理学—数学]