Spectral extremal results on the $\alpha$-index of graphs without minors and star forests

Ming-Zhu Chen, A-Ming Liu, Xiao-Dong Zhang

Let $G$ be a graph of order $n$, and let $A(G)$ and $D(G)$ be the adjacency matrix and the degree matrix of $G$ respectively. Define the convex linear combinations $A_{\alpha }(G)$ of $A (…