| 混合连接广义合作网络的度分布分析 |
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| 引用本文： | 雷 敏,敬 萍.混合连接广义合作网络的度分布分析[J].湖南工业大学学报,2012,26(4):69-71. |
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| 作者姓名： | 雷 敏 敬 萍 |
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| 作者单位： | 1. 湖南工业大学电气与信息工程学院,湖南株洲,412007
2. 中南大学数学与统计学院,湖南长沙,410075 |
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| 摘 要： | 提出了一个合作参与者数T是随机变量的广义合作网络模型,新参与者以概率p随机选择T-1个合作者,以概率1-p择优选择T-1个合作者。通过节点度变化满足的马尔可夫性质,利用马尔可夫链的方法和技巧得到了度分布的精确解析表达式。概率p的取值决定了此广义合作网络的无标度特性,当p<1时是无标度网络,且标度指数是参数p的函数。
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| 关 键 词： | 广义合作网络 马氏链 度分布 无标度网络 |
| 收稿时间： | 2012/6/13 0:00:00 |
The Degree Distribution of Generalized Collaboration Network with Mixed Attachments |
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| Lei Min and Jing Ping.The Degree Distribution of Generalized Collaboration Network with Mixed Attachments[J].Journal of Hnnnan University of Technology,2012,26(4):69-71. |
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| Authors: | Lei Min and Jing Ping |
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| Affiliation: | 1.School of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou Hunan 412007,China; 2.School of Mathematics and Statistics,Central South University,Changsha 410075,China) |
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| Abstract: | Proposes a generalized collaboration network which the number of collaborators T is a random variable, the new member with probability p chooses T-1 collaborators randomly and with probability 1-p chooses T-1 collaborators preferentially. Through node degree changing, meets Markov property, and by means of Markov chain theory obtains accurate analytic expression of degree distribution. The value of the parameter p determines the scale-free property of this generalized collaboration network, and when p<1, the network is scale-free and the scale exponent is a function of p. |
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| Keywords: | generalized collaboration network Markov Chain degree distribution scale-free network |
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