The YARP methodology consists of recursively applying graph-based elementary reaction steps (ERS) of the form break m bonds and form n bonds (bmfn). These rules are sufficiently generic to recapitulate many reactions without relying on explicit reaction templates and they define reaction spaces that can be comprehensively explored (e.g., all b2f2 pathways of a given set of reactants is a well-defined set). For neutral closed-shell systems, the simplest reaction that yields non-trivial closed-shell products is b2f2 (e.g., an E2 reaction); however, single-step b3f3 reactions might also be both thermodynamically and kinetically accessible (e.g. Diels-Alder reaction and Claisen rearrangement). Here we applied a compromise scheme, including all b2f2 reactions and the subset of b3f3 reactions involving at least one double bond breaking. These ERSs were applied to the gallium, carbon, and hydrogen atoms attached to carbon in the cluster model (shown as pink, gray, and white balls in Fig. ) to enumerate all products for each reactant in the network.