Altindag, Ilkay2024-02-232024-02-2320202147-1762https://doi.org/10.35378/gujs.532697https://hdl.handle.net/20.500.12452/15988Let (G) over cap (n,m) denote the set of all simple graphs with n vertices and m edges. In this paper, for a given type of graph Hermite matrix A, we determine the average values of the difference between A-energies of two graphs randomly chosen from (G) over cap (n,m). These results yield criterions for deciding when two graphs are almost A-equienergetic. Our results generalize some previous results in the literature. Moreover, we give new results on Laplacian energy.eninfo:eu-repo/semantics/openAccess(A-) Energy Of GraphAlmost (A-)Equienergetic GraphsArticle3312382472-s2.0-85086757045Q3WOS:00051953610001810.35378/gujs.532697