Energy of graphs, introduced in mathematics by Gutman in the 70´s is a quite studied invariant of graphs. In (2018) with Juarez, we introduced a refinement called Energy of a Vertex. This allows to give better bounds and a local understanding for the energy of a graph. In this talk I will survey on the topic of Energy of Graphs and on recent results in relation with Energy of a Vertex, that I derived with various coauthors.