一种超网络演化模型构建及特性分析

An evolving hypernetwork model and its properties

现实世界的很多超网络比如科学家合作超网络,演员合作超网络,WorldWideWeb(WWW)以及引文超网络都具有超边的增长和优先连接机制.基于这个原则,本文构建了一种超网络动态演化模型,并介绍了这个模型的一些基本拓扑性质,如节点度、节点超度、超边的度等.在此演化模型上重点理论分析了超度分布的特性,并进行了仿真实验,发现随着网络规模的增大,这个超网络动态演化模型的超度分布遵循无标度的特性.

Many hypernetworks in the real world, such as scientific collaboration hypernetworks, actor collaboration hypernet-works, World Wide Web （WWW） and citation hypernetworks, have two evolving mechanisms in their hyperedge growth and preferential attachment. Based on this observation, in this paper we construct a new evolving hypernet-work model. We introduced some basic topological properties, such as node degrees, node hyperdegrees, and hyperedge degrees. After presenting the construction of the evolving hypernetwork model, we focus on the theoretical anal- ysis of the hyperdegrees distribution. We furthermore give numerically simulation this quantity in the limit of large hyper-network size and find that the new hypernetwork model possesses similar qualitative features with the majority of complex networks that have been previously studied, especially the scale-free property of the hyperdegrees distribution.