超网络的无标度特性研究

发布时间：2018-04-19 16:20

本文选题：无标度 + 超网络　；参考：《中国科学:物理学力学天文学》2017年06期

【摘要】：无标度模型是复杂网络的一个开创性的研究.现实世界中的绝大多数网络都具有无标度特性,复杂网络中无标度网络的形成机制基于增长和度优先连接机制.本文基于超图理论对超网络的无标度形成机制进行了系统研究,发现超网络无标度形成机制与超边不断增长和超度优先连接因素有关:剔除其中的任意一个因素会导致超网络不再具有无标度特性,二者缺一不可.本文的研究结果对超网络的无标度特性的起因以及对现实超网络无标度特性的判断具有借鉴意义.
[Abstract]:Scale-free model is a pioneering study of complex networks.Most networks in the real world have scale-free properties. The formation mechanism of scale-free networks in complex networks is based on growth and degree first connection mechanisms.Based on the hypergraph theory, the scale-free formation mechanism of supernetworks is systematically studied in this paper.It is found that the scale-free formation mechanism of the supernetwork is related to the growth of the super-edge and the priority of overpass connection: eliminating any of the factors will lead to the supernetwork no longer having scale-free characteristics, and both of them are indispensable.The results of this paper can be used for reference in the cause of scale-free characteristics of supernetworks and in the judgment of scale-free properties of real supernetworks.
【作者单位】：青海师范大学计算机学院;
【基金】：国家自然科学基金(编号:61663041) 青海省科技计划项目(编号:2015-ZJ-723) 教育部春晖计划项目(编号:Z2015058)资助
【分类号】：O157.5

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