... kinematic chain are numbered sequentially from 1 to n. Since in thegraph, representation vertices correspond to links and edges correspond to joints, thelink -to- link adjacency matrix, A, is defined ... Linkage Characteristic Polynomial to the Topological Synthesis of Epicyclic Gear Trains, ASME Journal of Mecha-nisms, Transmissions, and Automation in Design, 109, 3, 32 9–3 36.[12] Tsai, L.W., 1988, ... vertices shown in Figure 3.9 are numbered from 1 to 4 representing links 1 to 4, respectively, and the edges are labeled as R, R, S, andC according to the pair connections between links.Similarly,...