Physics – Physics and Society
Scientific paper
2011-01-09
Physics
Physics and Society
17 pages, 5 figures
Scientific paper
In the study of complex networks, weighted networks have attracted more and more interests due to they can better describe the networks in real life. Through theoretical analysis, this paper find the universality of attractiveness model to weighted network, that is to say, the evolving mechanism of weighted network can be seen as a special case of attractiveness model. Then the relation between parameters in BBV weighted networks and attractiveness factor in attractiveness model is obtained. So we can use the expression of degree distribution of attractiveness model to calculate the one of weighted network directly, and the numerical simulation of degree distribution verified the validity of academic result. Furthermore, a comprehensive simulation of clustering coefficient shows the regular pattern of it varies with the changing of network parameters such as the size of network, updating coefficient, original weight and attractiveness . Specially, we point out that the original weight play the same important role as updating coefficient in influencing the topological characteristics of networks, which has been neglected before by other scholars.
Fan Chao
Guo Jin-Li
Ji Ya-Li
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