Equienergetic Graphs

Abstract

The energy $E(G)$ of a graph $G$ is the sum of the absolute values of the eigenvalues of $G$. Two graphs $G_1$ and $G_2$ are said to be equienergetic if $E(G_1)=E(G_2)$. In this paper, we outline various classes of equienergetic graphs. These results enable the construction of pairs of noncospectral equienergetic graphs of the same order and of the same size.