Graphene plasmons provide a suitable alternative to noble-metal plasmons because they exhibit much larger confinement and relatively long propagation distances, with the advantage of being highly tunable via electrostatic gating. We report strong lightmatter interaction assisted by graphene plasmons, and in particular, we predict unprecedented high decay rates of quantum emitters in the proximity of a carbon sheet, large vacuum Rabi splitting and Purcell factors, and extinction cross sections exceeding the geometrical area in graphene ribbons and nanometer-sized disks. Our results provide the basis for the emerging and potentially far-reaching field of graphene plasmonics, offering an ideal platform for cavity quantum electrodynamics and supporting the possibility of single-molecule, single-plasmon devices. * To whom correspondence should be addressed Surfaces plasmons (SPs), the electromagnetic waves coupled to charge excitations at the surface of a metal, are the pillar stones of applications as varied as ultrasensitive optical biosensing, 1-3 photonic metamaterials, 4 light harvesting, 5,6 optical nano-antennas, 7 and quantum information processing. [8][9][10][11] However, even noble metals, which are widely regarded as the best available plasmonic materials, 12 are hardly tunable and exhibit large ohmic losses that limit their applicability to optical processing devices.In this context, doped graphene emerges as an alternative, unique two-dimensional plasmonic material that displays a wide range of extraordinary properties. 13 This atomically thick sheet of carbon is generating tremendous interest due to its superior electronic and mechanical properties, 14-20 which originate in part from its charge carriers of zero effective mass (the so-called Dirac fermions 18 ) that can travel for micrometers without scattering, even at room temperature. 21 Furthermore, rapid progress in growth and transfer techniques have sparked expectations for large-scale production of graphene-based devices and a wide range of potential applications such as high-frequency nanoelectronics, nanomechanics, transparent electrodes, and composite materials. 17 Recently, graphene has also been recognized as a versatile optical material for novel photonic 22 and optoelectronic applications, 23 such as solar cells, photodetectors, 24 light emitting devices, ultrafast lasers, optical sensing, 25 and metamaterials. 26 The outstanding potential of this atomic monolayer is emphasized by its remarkably high absorption 27,28 ≈ πα ≈ 2.3%, where α = e 2 /hc ≈ 1/137 is the fine-structure constant. Moreover, the linear dispersion of the Dirac fermions enables broadband applications, in which electric gating can be used to induce dramatic changes in the optical properties. 29All of these photonic and optoelectronic applications rely on the interaction of propagating far-field photons with graphene. Additionally, SPs bound to the surface of doped graphene exhibit a number of favorable properties that make graphene an attractive alternative to tr...