A novel weighted evolving network model based on clique overlapping growth |
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Authors: | Xu-hua Yang Bo Wang and Bao Sun |
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Affiliation: | [1]College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China [2]Department of Computer Science and Engineering, Yiwu Industrial and Commercial College, Yiwu 322000, China |
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Abstract: | A novel weighted evolving network model based on the clique overlapping growth was proposed. The model shows different network
characteristics under two different selection mechanisms that are preferential selection and random selection. On the basis
of mean-field theory, this model under the two different selection mechanisms was analyzed. The analytic equations of distributions
of the number of cliques that a vertex joins and the vertex strength of the model were given. It is proved that both distributions
follow the scale-free power-law distribution in preferential selection mechanism and the exponential distribution in random
selection mechanism, respectively. The analytic expressions of exponents of corresponding distributions were obtained. The
agreement between the simulations and analytical results indicates the validity of the theoretical analysis. Finally, three
real transport bus networks (BTNs) of Beijing, Shanghai and Hangzhou in China were studied. By analyzing their network properties,
it is discovered that these real BTNs belong to a kind of weighted evolving network model with clique overlapping growth and
random selection mechanism that was proposed in this context. |
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Keywords: | weighted network clique overlapping mean-field theory bus transport network |
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