| 演化网络的拓扑结构 |
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| 引用本文： | 马丽红,周国香,何文辰.演化网络的拓扑结构[J].河北工业大学学报,2009,38(3). |
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| 作者姓名： | 马丽红 周国香 何文辰 |
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| 作者单位： | 河北工业大学,理学院,天津,300401 |
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| 基金项目： | 国家自然科学基金资助 |
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| 摘 要： | 介绍了两种网络模型--进化网络和退化网络,给出了它们度分布主方程的微分形式和解析解,得到度分布P(k,t)的解是随时间演化的,并求得其标度值γ.在给定的时间内方程解中的一项呈幂率衰减,另一项反映了尺度效应.当c等于零,时间无限大时得到的度分布解的形式与BA网络的形式相似.
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| 关 键 词： | 退化网络 进化网络 主方程 连续方法 |
Topology of the Evolution Network |
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| MA Li-hong,ZHOU Guo-xiang,HE Wen-chen.Topology of the Evolution Network[J].Journal of Hebei University of Technology,2009,38(3). |
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| Authors: | MA Li-hong ZHOU Guo-xiang HE Wen-chen |
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| Affiliation: | School of Science;Hebei University of Technology;Tianjin 300401;China |
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| Abstract: | For the developing and decaying network,a kind of model is proposed in this paper.It is given the differential format of master equation of degree distribution and its analytical solution.The obtained resultp (k,t) is the time evolution of degree distribution and its scale y.At given finite time,one term decays exponentially,the other reflects size effect.For the case of c is equal to zero,the degree distribution is the similar as that of BA network at infinite time. |
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| Keywords: | the decaying network the developing network master equation the continuous method |
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