relating graph energy with vertex-degree-based energies

Introduction/purpose: the paper presents numerous vertex-degree-based graph invariants considered in the literature. a matrix can be associated to each of these invariants. by means of these matrices, the respective vertex-degree-based graph energies are defined as the sum of the absolute values of the eigenvalues. results: the article determines the conditions under which the considered graph energies are greater or smaller than the ordinary graph energy (based on the adjacency matrix). conclusion: the results of the paper contribute to the theory of graph energies as well as to the theory of vertex-degree-based graph invariants.