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| 随机—择优网络的结构控制及其传播阈值研究 | |
| 引用本文： | 王春香,;周海平,;赖兵兵,;陈佰树,;陈丽梅. 随机—择优网络的结构控制及其传播阈值研究[J]. 黑龙江八一农垦大学学报, 2014, 0(3): 58-60,124 |
| 作者姓名： | 王春香, 周海平, 赖兵兵, 陈佰树, 陈丽梅 |
| 作者单位： | [1]黑龙江八一农垦大学理学院,大庆163319; [2]贵阳学院数学与信息科学学院;,大庆163319; [3]国家电网江西宜春袁州区供电有限责任公司,大庆163319; |
| 基金项目： | 国家自然科学基金（11247286）;贵州省自然科学基金（LGK[2013]53）. |
| 摘 要： | 建立一个综合研究随机网络特征和无标度网络特征的随机—择优统一演化网络模型,在该模型中引入参数p,其表示新节点与旧节点进行随机连接的概率,而1-p为新节点与旧节点进行择优连接的概率,p的变化范围在0~1之间。当p=0时,网络的临界传播阈值为0,而当p0时,网络的临界传播阈值为正值。对该模型的分析和研究一方面揭示了网络结构演化的微观动力学机制,另一方面为优化网络结构设计和控制病毒传播提供了依据。 |
| 关 键 词： | 复杂网络 病毒传播 临界传播阈值 随机 择优 |
Structure Control and Spreading Threshold Research in Random-Preferential Networks |
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| Affiliation: | Wang Chunxiang, Zhou Haiping, Lai Bingbing, Chen Baishu, Chen Limei ( 1. College of Science, Heilongjiang Bayi Agricultural University, Daqing 163319; 2. Mathematics and Information Science Department of Guiyang College; 3. Electric Power Co. Ltd of State Grid of Yuanzhou District, Yiehun city of Jiangxi) |
| Abstract: | The random-preference integration evolvement network model was proposed,which could analyze the characteristics of the random and scale-free networks. In the model,a new probability （p） was introduced,and p was the random probability of connecting the new node with the old one. 1-p was the preferential probability that connected the new node with the old one. The p scale was from 0 to 1. The network spreading threshold was 0,if the p was 0. Its value would become positive,if the p is more than 0. The study of this model could illuminate the mechanism underneath the network structure evolvement. At the same time,it could provide data for the optimization of the network structure design and be helpful for the control of the spread of virus infection. |
| Keywords: | complex networks virus spreading critical spreading threshold random preference |
| 本文献已被 CNKI 维普 等数据库收录！ | |