A_-energy of graphs formed by some unary operations

Let G be a graph on p vertices with adjacency matrix A (G) and degree matrix D (G). For each 0, 1, the A_-matrix is defined as A_ (G) = D (G) + (1 -) A (G). In this paper, we compute the A_-characteristic polynomial, A_-spectra and A_-energy of some non-regular graphs obtained from unary operations on graphs like middle graph, central graph, m-splitting, and closed splitting graph. Also, we determine the A_-energy of regular graphs like m-shadow, closed shadow, extended bipartite double graph, iterated line graph and m-duplicate graph. Furthermore, we identified some graphs that are A_-equieneregetic and A_-borderenergetic.