# American Institute of Mathematical Sciences

March  2012, 7(1): 59-69. doi: 10.3934/nhm.2012.7.59

## A sufficient condition for classified networks to possess complex network features

 1 College of Science, Nanjing University of Aeronautics & Astronautics, Nanjing, 210016, China, China, China 2 College of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210046, China

Received  March 2011 Revised  December 2011 Published  February 2012

We investigate network features for complex networks. A sufficient condition for the limiting random variable to possess the scale free property and the high clustering property is given. The uniqueness and existence of the limit of a sequence of degree distributions for the process is proved. The limiting degree distribution and a lower bound of the limiting clustering coefficient of the graph-valued Markov process are obtained as well.
Citation: Xianmin Geng, Shengli Zhou, Jiashan Tang, Cong Yang. A sufficient condition for classified networks to possess complex network features. Networks & Heterogeneous Media, 2012, 7 (1) : 59-69. doi: 10.3934/nhm.2012.7.59
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