This document summarizes the mechanism of graphene growth by chemical vapor deposition (CVD) on transition metals. It discusses how CVD uses transition metal catalysts like copper and nickel, which adsorb hydrocarbon gases and enable the growth of graphene through surface processes. The growth kinetics differ between copper and nickel, with graphene expanding across copper's surface but segregating on nickel. Effective separation and reuse of the metal catalysts is key to making graphene production cost-effective at large scales.