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.
Received: 12 April 2006
Revised: 27 November 2006
Accepted manuscript online:
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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