Three-layered supernetwork evolution model and the application for China-world's top 500 enterprises supernetwork

Authors: 
Qiang Liu, Department of Nuclear Technology Application, China Institute of Atomic Energy, Beijing 102413, P. R. China
Jin-Qing Fang, Corresponding author, Department of Nuclear Technology Application, China Institute of Atomic Energy, Beijing 102413, P. R. China
Yong Li, Department of Nuclear Technology Application, China Institute of Atomic Energy, Beijing 102413, P. R. China
Abstract: 

Network of network (NON) or so-called supernetwork extensively exists in the real world. However, so far the definition of NON is not mutually recognized, relevant theory is rather lacking. In order to reveal certain characteristics of NON, we proposed four kinds of three-layered supernetwork evolution models (TLSEM) based on WS small-world and BA scale-free model, and defined two kinds of layer cross-degrees as new measures of cooperative-competition relationship for different layer nodes. The idea and methods of TLSEM are applied to the construction and analysis of China-world's top 500 enterprises supernetworks as a typical empirical example. The analytical results show that the layer cross-degree is better description than other network characteristics, and TLSEM may lay a certain foundation and extend to study more multilevel supernetworks.
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Received: 
Sunday, June 30, 2013
Accepted: 
Monday, September 30, 2013
Published: 
Monday, December 2, 2013
keywords: 
NON
top 500 enterprises
layer cross-degree
PACS: 
89.75.-k
89.75.Fb