The controlled growth of large-area, high-quality, single-crystal graphene is highly desired for applications in electronics and optoelectronics; however, the production of this material remains challenging because the atomistic mechanism that governs graphene growth is not well understood. The edges of graphene, which are the sites at which carbon accumulates in the twodimensional honeycomb lattice, influence many properties, including the electronic properties and chemical reactivity of graphene, and they are expected to significantly influence its growth. We demonstrate the growth of single-crystal graphene domains with controlled edges that range from zigzag to armchair orientations via growth-etching-regrowth in a chemical vapor deposition process. We have observed that both the growth and the etching rates of a single-crystal graphene domain increase linearly with the slanted angle of its edges from 0°to ∼19°and that the rates for an armchair edge are faster than those for a zigzag edge. Such edge-structure-dependent growth/etching kinetics of graphene can be well explained at the atomic level based on the concentrations of the kinks on various edges and allow the evolution and control of the edge and morphology in single-crystal graphene following the classical kinetic Wulff construction theory. Using these findings, we propose several strategies for the fabrication of wafer-sized, high-quality, single-crystal graphene.two-dimensional materials | crystal growth G raphene, a one-atom-thick, two-dimensional (2D) crystal, has attracted increasing interest because of its interesting properties, which include a large carrier mobility, high transparency, extremely high thermal conductivity, and high tensile strength (1-3). Wafer-sized single-crystal graphene is highly desired and required for numerous applications, especially in electronics and optoelectronics, because grain boundaries between the graphene domains markedly degrade its quality and properties (4-8). Chemical vapor deposition (CVD) has shown great potential for growing large-sized single-crystal graphene domains (8-12); however, the growth rate with CVD is low, typically less than 20 μm/min, which is obviously not conducive to the fabrication of wafer-sized single crystals. In addition, the graphene produced by CVD suffers from poor controllability and low quality. For example, only zigzag (ZZ) or randomly oriented edges have been fabricated via CVD, and the electron mobility in CVD-produced graphene is substantially lower than that in mechanically exfoliated graphene (13). Understanding the atomistic mechanism that governs graphene growth is necessary for the controlled growth of wafer-sized, high-quality, single-crystal graphene. The edge structure of graphene has been shown to significantly influence its various fundamental properties, such as its electronic and magnetic properties, its edge stability, and its chemical reactivity (14)(15)(16)(17)(18). Similarly, the graphene edges, as the sites at which carbon accretion to the twodimensional ho...