On the $A_{\alpha }$-spectra of trees

Vladimir Nikiforov, Germain Pastén, Oscar Rojo +1

Let $G$ be a graph with adjacency matrix $A(G)$ and let $D(G)$ be the diagonal matrix of the degrees of $G$. For every real $\alpha \in \left[0,1\right],$ define the matrix $A_α\left(G\r…