| 带有倾向性的环状网络Small-World现象的分析 |
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| 引用本文： | 张帆.带有倾向性的环状网络Small-World现象的分析[J].复旦学报(自然科学版),2011(1). |
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| 作者姓名： | 张帆 |
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| 作者单位： | 复旦大学数学科学学院; |
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| 摘 要： | 一个环状网络可以由马尔科夫链来描述,并且通过求解该马尔科夫链的平均首达时间等指标来描述该网络的特点.一个带有倾向性的环状网络,其上马尔科夫链的平均首达时间解可以被精确求出.带有倾向性的环状网络上的Small-World现象与对称环状网络也有一定的差异.
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| 关 键 词： | 环状网络 马尔科夫链 平均首达时间 Small-World现象 |
Analysis of Small-World Model to a Tendentious Ring Network |
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| ZHANG Fan.Analysis of Small-World Model to a Tendentious Ring Network[J].Journal of Fudan University(Natural Science),2011(1). |
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| Authors: | ZHANG Fan |
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| Institution: | ZHANG Fan(School of Mathematical Sciences,Fudan University,Shanghai 200433,China) |
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| Abstract: | A ring network can be modeled by a Markov chain and its characteristics can be described by several indicators such as the mean first passage times of the Markov chain.The exact results for a tendentions ring network Markov chain model is provided and the difference of Small-World phenomenon between tendentious ring network and a symmetric one is given. |
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| Keywords: | ring networks Markov chains mean first passage times Small-World |
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