geometric graph meaning in English
几何图
Examples
- What we do at this aspect are : firstly , we describe the permutation symmetry of the structure of some special networks and the corresponding attractor sets with some geometric graphs in euclidean space , which are called attractors graph and geometrized structure graph of the networks respectively ; the geometrizing conditions are also given ; we study the dynamical behavior of the networks using the geometrized structure graph and attractors graph of the network ; moreover , we propose an approach to construct a big - size network with some small - size network with symmetry by the method of direct - sum , direct - produce and semidirect - produce . we also study the dynamical properties " relation between the big - size network and the small - size networks . all those results will provide some theoretical basis for designing a special large - scale network
本文在这方面所做的工作如下：首次将一些特殊网络的结构和吸引子集的置换对称性用三维欧氏空间中的一些几何图来表示，分别称之为几何结构图和吸引子图；给出了网络对称性的几何化条州即相应的对称性群为可迁群） ：并惜助网络的几何结构图和吸弓吁图分析网络的动力学性质；此外，我们提出了用简单的具有一定对称性的小网络按照群的直和、半直积和直积的方式组合成较大的网络的方法，探讨了这些小网络和所组成的大网络的一些动力学性质的关系，如稳定态的个数、各稳定态的回忆性质等，为较大网络的设计提供一些理论依据。