On the largest $A_{\alpha }$-spectral radius of cacti

Shaohui Wang, Chunxiang Wang, Jia-Bao Liu +1

Let $A(G)$ be the adjacent matrix and $D(G)$ the diagonal matrix of the degrees of a graph $G$, respectively. For $0\le \alpha \le 1$, the $A_{\alpha }$ matrix $A_{\alpha }(G)=\alpha D(G)+(1-\alpha )A(G)$ is…