ABSTRACT

The ordinary energy of the graph includes the sum of the absolute values of the eigenvalues of its adjacency matrix. In chemistry, the energy of a graph is used to approximate the total electron energy of a molecule. This chapter evaluates the degree sum energy of a complete graph, wheel graph, star graph, and Petersen graph. An edge connects a set of adjacent vertices of a simple graph that is provided with a vertex set. The adjacency matrix of the graph is the square matrix of a specific order if the vertices of the graph are adjacent and is equal to zero otherwise.