This paper use the topological characteristic constants for isomorphism identification, such as the power value sequence (PVS), least distance matrix sequence (LDMS), and loop number (LN). The fourth PVS, the LDMS, and the LN are compared and arranged in descending order, forming a strong complementary chain. Our results show that solving the problem of the isomorphism identification of the kinematic chain (KC) based on graph theory definition has no advantage in efficiency.

To obtain all mechanical schemes, scholars in this field have proposed an innovative design method using kinematic chain configuration synthesis. However, the existing innovative design method easily produces redundant design schemes. We analyze the similar component discrimination method for mechanisms from the perspective of graph theory and apply it to the specialization of topological graphs to solve the problem of redundant design schemes.