I will explain how General Relativity can be reformulated as an SU(2) gauge theory (of an unusual type) and describe how the gravitational perturbation theory looks like in this language. I will show how the gauge-theory approach gives a more economical description of interactions of gravitons than the usual metric-based treatment. As an application I will describe how the MHV graviton scattering amplitudes can be computed via essentially the same technology as works in the Yang-Mills case of MHV gluon scattering, i.e. via Feynman diagrammatics.