为了揭示超网络的某些特性,提出和建立了基于小世界模型和无标度模型混合的4种三层超网络演化模型,并定义了两种层次交叉度用于表征超网络中不同层次节点之间的合作与竞争关系,数值模拟表明:层次交叉度不仅可用于分析超网络不同层次之间节点的相互合作与竞争的关系,还能描述和量化超网络的鲁棒性,研究结果从理论上进一步完善了多层次的超网络演化模型,并为应用研究打下了基础。
In order to reveal some characteristics of supernetworks,in this paper we proposed and established four kinds of three-layer network evolution models based on small-world and scale-free model, and defined two kinds of the layer intersectant degree between the levels, which are used to measure the cooperation-competition relation between network nodes. The numerical analytical results show that for the supernetwork theory model and empirical analysis, the layer intersectant degrees can not only be used to analyze the relationship between different layers of nodes, but also describe and quantify supernetwork robustness, From the theory our research results further deep perfect the multi-layered supernetwork evolution models, and lay a certain foundation for applications.
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