On the eigenvalues and energy of the $A_{\alpha }$-matrix of graphs

Nijara Konch, A. Bharali, S. Pirzada

For a graph $G$, the generalized adjacency matrix $A_{\alpha }(G)$ is the convex combination of the diagonal matrix $D(G)$ and the adjacency matrix $A(G)$ and is defined as $A_α(G)=αD(G)+(…