“…Geared linkage mechanisms are composed of one or more linkages and gear pairs, and are widely used in machines and vehicles. Over the years, studies of geared linkage mechanisms have mainly focused on structural synthesis, kinematic analysis, and dimensional synthesis (Beiner, 2001, Buskiewicz, 2010, Hsu and Lam, 1993, Hsu and Hsu, 1997, Lee and Freudenstein, 1978, Lin and Chen, 2000, Lin, et al, 2004, Lin and Cao, 2005, Modler, et al, 2009, Mundo and Gatti, 2008, Mundo, et al, 2009, Parlaktas, et al, 2010. A number of researchers have applied graph theory to the structural synthesis of these mechanisms (Hsu and Lam, 1993, Hsu and Hsu, 1997, Lin and Chen, 2000, Lin, et al, 2004.…”