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Graphene, a one-atom-thick layer of carbon atoms arranged in a honeycomb lattice, has recently attracted great interest among physicists and engineers. The combination of the unique properties of graphene with new device concepts and nanotechnology can overcome some of the main limitations of traditional radio frequency electronics in terms of maximum frequency, linearity, and power dissipation. In this article we review the current status of research on graphene-based electronic devices for RF applications. The future challenges facing this rising technology and its feasibility for a new generation of applications in RF communications and circuits are also discussed.