复杂网络三大特征的比较研究

A comparitive stuoly on three features of complex networks

复杂网络理论被广泛研究,归结于它与现实中许多真实网络,如因特网,社会网等等,之间密切的关系。大量真实网络被普遍认为具有无标度特征和小世界特征。然而最近,人们发现了网络的分形特征。将结合重整化群和盒计数方法,探讨对复杂网络的这三个特征的产生机理和它们之间相互关系的内在机制。通过两两比较它们之间的关系,刻画出复杂网络整体的特征,并分析不同网络的鲁棒性,给现实网络的稳定性改进提出意见。

The theory of complex networks has been studied extensively owing to their close relevance to many real networks such as the Internet, and social networks. A large number of real networks are referred to as ＂scale-free＇ and ‘small-world＇ However, scientists observed ‘fractal＇ property. The paper will probe into origins of three features of complex networks and underlying mechanism of their relation using renormalization and box - covering method. By comparing with their relation, we will depict entire features of complex networks, and analyze robustness of diverse networks. Eventually, we put forward some ideas on how to improve robustness of real complex networks.