CAJ | 학술논문

针对当前国内外复杂网络的研究热点，依据社会系统的增长和择优选择机制，结合分形生成规则，构建了一类确定性耦合复杂网络。对该网络的3个主要参数：度分布、集聚系数和直径进行计算，利用网络的自相似性及分形理论中盒计数法得到了网络的分形维数，证明了该网络具有小世界效应和分形特征，可有效应用于现实社会系统。
침대당전국내외복잡망락적연구열점，의거사회계통적증장화택우선택궤제，결합분형생성규칙，구건료일류학정성우합복잡망락。대해망락적3개주요삼수：도분포、집취계수화직경진행계산，이용망락적자상사성급분형이론중합계수법득도료망락적분형유수，증명료해망락구유소세계효응화분형특정，가유효응용우현실사회계통。
A deterministic model for complex networks is built based on the growth and preferential selection mechanism of social systems. This model also incorporates the formation rule of fractals. We precisely calculate three major characteristics of the network, the degree distribution, the clustering coefficient and the average path length. We also obtain its fractal dimension using the theory of self?similarity and the method of fractal box counting. In addition, we prove that the network has the small?world effect and is fractal. Furthermore, we simply apply it to real society systems. The analysis shows that it is of great practical significance.