Inspired by the recent developments and mature understanding of the notion of lower-boundedness of Ricci curvature in continuous settings (such as Riemannian manifolds), several independent groups of researchers have proposed intriguing analogs of such a curvature in discrete settings (such as graphs). The proposals depend on the perspective being probabilistic, analytical or combinatorial. In this talk, I will briefly mention a few of these approaches, consequences, and state some open problems.