On $A_{\alpha }$-spectrum of joined union of graphs and its applications to power graphs of finite groups

Bilal A. Rather, Hilal A. Ganie, S. Pirzada

For a simple graph $G$, the generalized adjacency matrix $A_{\alpha }(G)$ is defined as $A_{\alpha }(G)=\alpha D(G)+(1-\alpha )A(G),\alpha \in [0,1]$, where $A(G)$ is the adjacency matrix and $D(G)$ is the diagona…