在定义了连接点的基础上 ,深入探讨了机械的拓扑结构及其表达 ;在充分考虑机构统一建模和机构解算实际情况的基础上 ,以构件为顶点 ,以连接点为边 ,将机构的拓扑结构抽象为一个连通图。本文还以图论为工具讨论了机构的图的生成算法、机构有效闭环路的生成算法、机构开环路的生成算法、构件路径的生成算法等问题。本文最后给出了一个实例 Based on the definition of the connection points, the topological structure of machinery and its expression are discussed in depth. Based on the unified modeling of the mechanism and the actual situation of the solution of the mechanism, taking the component as the vertex and the connection point as the edge, The topology is abstracted as a connected graph. In this paper, we also discuss the algorithm of graph generation, the generation of effective closed-loop mechanism, the generation of open-loop algorithm and the generation of component path by using graph theory as a tool. An example is given at the end of this article