超网络研究

作为研究复杂系统与复杂性问题的新方法,在复杂网络研究成热潮后,超网络研究开始受到关注,并被广泛运用于解决实际问题.为全面探讨超网络研究的现有成果,首先对超网络的基本概念、基本特点和常见模型进行了总结;接着描述了基于变分不等式、基于超图和基于系统科学的研究方法,并对其研究现状分别进行了回顾;随后简述了超网络在网络平衡问题、知识网络表述与鲁棒性研究中的应用,以及超网络统计特性研究;最后,总结了超网络现阶段研究的不足并对今后的研究进行讨论和展望.

Brief Review of Supernetworks

As a new method for studying complex systems and problems,supernetworks begin to attract close attention after the research boom on complex network,meanwhile it is widely used to solve practical problems.The basic concepts,characters,and models of supernetworks were introduced.The research methodology based on variational inequality,hypergraph and systems science was summurized,and the research status was reviewed respectively.The applications of supernetworks to network equilibrium,knowledge network expression and robustness study were described,and the statistic characteristics were discussed.The inadequacy in the research on supernetwork at present was pointed out and the future work was discussed.