A_α-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 α ∈ [0, 1], the A_α-matrix is defined as A_α (G) = α D(G) + (1 - α)A(G). In this paper, we compute the A_α-characteristic polynomial, A_α-spectra and A_α-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_α-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_α-equieneregetic and A_α-borderenergetic.