| Local Events and Dynamics on Weighted Complex Networks |
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| 作者姓名： | 赵晖 高自友 |
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| 作者单位： | State Key Laboratory of Rail Traffic Control and Safety, School of Traffic and Transportation, Beiring Jiaotong University, Belting 100044 |
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| 基金项目： | Supported by the National 0utstanding Young Investigator of the National Natural Science Foundation of China Grant under Nos 70225005 and 70471088, and the Doctoral Station Programme of the Ministry of Education of China （20050004005）. |
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| 摘 要： |
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| 关 键 词： | 局部事件 动力学 复杂网络 连续理论 |
| 收稿时间： | 2006-03-23 |
| 修稿时间： | 2006-03-23 |
Local Events and Dynamics on Weighted Complex Networks |
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| ZHAO Hui,GAO Zi-You.Local Events and Dynamics on Weighted Complex Networks[J].Chinese Physics Letters,2006,23(8):2311-2314. |
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| Authors: | ZHAO Hui GAO Zi-You |
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| Affiliation: | State Key Laboratory of Rail Traffic Control and Safety, School of Traffic and Transportation, Beiring Jiaotong University, Belting 100044 |
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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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| Keywords: | 87 23 Kg 89 75 Da 89 75 Fb 89 75 Hc |
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