A method and structure for providing uniform, large-area graphene by way of a transfer-free, direct-growth process. In some embodiments, a SAM is used as a carbon source for direct graphene synthesis on a substrate. For example, a SAM is formed on an insulating surface, and a metal layer is formed over the SAM. The metal layer may serve as a catalytic metal, whereby the SAM is converted to graphene following an annealing process. The SAM is deposited using a VPD process (e.g., an ALD process and/or an MLD process). In some embodiments, a CNT having a controlled diameter may be formed on the surface of a nanorod by appropriately tuning the geometry of the nanorod. Additionally, in some embodiments, a curved graphene transistor may be formed over a curved oxide surface, thereby providing a band gap in a channel region of the graphene transistor.