Weighted Networks Model Based on Traffic Dynamics with Local Perturbation |
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Authors: | ZHAO Hui and GAO Zi-You |
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Institution: | State Key Laboratory of Rail Traffic Control and Safety, School of Traffic and
Transportation, Beijing Jiaotong University, Beijing 100044, China |
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Abstract: | In the study of weighted complex networks, the interplay between
traffic and topology have been paid much attention. However, the
variation of topology and weight brought by new added vertices or
edges should also be considered. In this paper, an evolution model
of weighted networks driven by traffic dynamics with local perturbation is proposed. The model gives power-law distribution of degree, weight and strength, as confirmed by empirical measurements. By choosing appropriate parameters W and δ, the exponents
of various power law distributions can be adjusted to meet real world networks. Nontrivial clustering coefficient C, degree
assortativity coefficient r, and strength-degree correlation are
also considered. What should be emphasized is that, with the
consideration of local perturbation, one can adjust the exponent of
strength-degree correlation more effectively. It makes our model
more general than previous ones and may help reproducing real world
networks more appropriately. |
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Keywords: | weighted networks traffic dynamics scale free perturbation |
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