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Chinese Physics, 2007, Vol. 16(5): 1239-1245    DOI: 10.1088/1009-1963/16/5/012
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The classification and analysis of dynamic networks

Guo Jin-Li(郭进利)
Business School, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract  In this paper we, firstly, classify the complex networks in which the nodes are of the lifetime distribution. Secondly, in order to study complex networks in terms of queuing system and homogeneous Markov chain, we establish the relation between the complex networks and queuing system, providing a new way of studying complex networks. Thirdly, we prove that there exist stationary degree distributions of M--G--P network, and obtain the analytic expression of the distribution by means of Markov chain theory. We also obtain the average path length and clustering coefficient of the network. The results show that M--G--P network is not only scale-free but also of a small-world feature in proper conditions.
Keywords:  complex network      lifetime of nodes      BA model      scale-free network      small-world network  
Received:  12 April 2006      Revised:  27 November 2006      Accepted manuscript online: 
PACS:  89.75.Hc (Networks and genealogical trees)  
  02.50.Cw (Probability theory)  
  02.50.Ga (Markov processes)  
Fund: Project supported by the Shanghai Leading Academic Discipline Project, China (Grant No T0502) and by the Shanghai Municipal Education Commission Natural Science Foundation, China (Grant No 05EZ35).

Cite this article: 

Guo Jin-Li(郭进利) The classification and analysis of dynamic networks 2007 Chinese Physics 16 1239

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