On the Energy of Graphs

Abstract

The energy of a graph, E(G), is the sum of the absolute values of its eigenvalues. The energy concept has received a high interest over the last decade, at first due to its various applications in chemistry and then in its own right. This paper focuses on some of the most important results on the bounds for the energy of general graphs and the energy of bipartite graphs. Some known bounds for the change in the energy of a graph after deleting a vertex or an edge are also considered.