A SUFFICIENT CONDITION FOR CLASSIFIED NETWORKS TO POSSESS COMPLEX NETWORK FEATURES

被引：0

作者：

Geng, Xianmin ^{[1
]}

Zhou, Shengli ^{[1
]}

Tang, Jiashan ^{[2
]}

Yang, Cong ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Peoples R China

[2] Nanjing Univ Posts & Telecommun, Coll Sci, Nanjing 210046, Jiangsu, Peoples R China

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2012年 / 7卷 / 01期

关键词：

Scale free network; Clustering coefficient; Graph-valued stochastic process; Markovian process;

D O I：

10.3934/nhm.2012.7.59

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：59 / 69

页数：11

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