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Local Events and Dynamics on Weighted Complex Networks |
| ZHAO Hui;GAO Zi-You |
| State Key Laboratory of Rail Traffic Control and Safety, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044 |
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| Cite this article: |
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ZHAO Hui, GAO Zi-You 2006 Chin. Phys. Lett. 23 2311-2314 |
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Abstract We examine the weighted networks grown and evolved by local events, such as the addition of new vertices and links and we show that depending on frequency of the events, a generalized power-law distribution of strength can emerge. Continuum theory is used to predict the scaling function as well as the exponents, which is in good agreement with the numerical simulation results. Depending on event frequency, power-law distributions of degree and weight can also be expected. Probability saturation phenomena for small strength and degree in many real world networks can be reproduced. Particularly, the non-trivial clustering coefficient, assortativity coefficient and degree-strength correlation in our model are all consistent with empirical evidences.
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87.23.Kg
89.75.Da
89.75.Fb
89.75.Hc
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Published: 01 August 2006
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| PACS: |
87.23.Kg
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(Dynamics of evolution)
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89.75.Da
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(Systems obeying scaling laws)
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89.75.Fb
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(Structures and organization in complex systems)
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89.75.Hc
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(Networks and genealogical trees)
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