1 By means of the topological graph, the linear equations of all fundamental circuits arc established and a motion analysis is carried out after those linear equations have been solved.

2 Embedding theory is a central subject in topological graph theory.

3 The software can optimize and plot the pipeline-station topological graph, and provide the convenience to guide the conceptual design and production run in oilfield.

4 There are two fields in topological graph theory: one is the study of the properties of graph embedding.

5 Commuication expenses. It can be evaluated the diameter or average distance of topological graph.

6 It can be evaluated the diameter or average distance of topological graph. (3)Expandability.

7 Based on the model, the recycling process search is carried out with the Agent technique, to form the feasible process topological graph.

8 Network topology discovery algorithm is the key to making the network topological graph automatically, and has extensive applications in network management system.

9 The study of minimum genus of a graph is a major theme of topological graph theory and is NP-hard.

10 The complicated structure of the epicyclical gear train with multidegrees of freedom and planet carriers could he predigested into the topological graph by adopting the knowledge of graph theory.

11 The complicated structure of the epicyclical gear train with multidegrees of freedom and planet carriers could be predigested into the topological graph by adopting the knowledge of graph theory.

12 Then we generalized the result: the genus of F equals zero if only the topological graph of F is special simple.