General Degree Product Energy of Graphs

Let G be a simple connected graph with n vertices and m edges. In this article, we introduce the concept of the general degree product matrix and the general degree product energy of a graph G and obtain the bounds for the general degree product eigenvalues and general degree product energy of any connected graph G. Further, we obtain the general degree product energy of a new family of graphs from an existing base graph, such as the duplication graph, R-graph, and middle graph.