| 带去边机制的增长小世界网络的度分布 |
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| 引用本文： | 曹玉芬,侯振挺.带去边机制的增长小世界网络的度分布[J].昆明理工大学学报(理工版),2010,35(6):104-107. |
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| 作者姓名： | 曹玉芬 侯振挺 |
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| 作者单位： | [1]中南林业科技大学涉外学院,湖南长沙410004 [2]中南大学数学学院概率统计研究所,湖南长沙410083 |
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| 摘 要： | 为了研究复杂网络的发展,学者们提出了许多模型和分析方法,提出了计算演化网络度分布的马氏链方法.本文将主方程方法和马氏链首达概率方法应用于一个去边机制与时间相关的小世界网络模型,得到这个模型度分布的精确表达式,并严格证明了度分布的存在性,说明马氏链首达概率法同样适用于小世界网络.
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| 关 键 词： | 复杂网络 度分布 马氏链 首达概率法 |
Degree-Distribution of a Growing Network with Edge Removal |
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| CAO Yu-fen,HOU Zhen-ting.Degree-Distribution of a Growing Network with Edge Removal[J].Journal of Kunming University of Science and Technology(Natural Science Edition),2010,35(6):104-107. |
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| Authors: | CAO Yu-fen HOU Zhen-ting |
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| Affiliation: | 1.Swan college of central South University of Forestry and technology,Changsha 410004,China; 2.School of Mathematics,Central South University,Changsha 410075,China) |
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| Abstract: | To study complex network,scholars proposed many models and analytical methods,and proposed the calculate methods of degree distributions of evolving networks by means of Markov chain.Based on master-equation approach and first-passage probability approach,this paper derives the exact formulas of the distribution of a growing network with edge removal,and proves the existence of the steady-state degree distribution.It shows the first-passage probability approach is applicable to small-world networks also. |
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| Keywords: | complex networks degree distribution Markov chain first-passage probability master-equation approach |
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