Sharp bounds on the $A_{\alpha }$-index of graphs in terms of the independence number

Wanting Sun, Lixia Yan, Shuchao Li +1

Given a graph $G$, the adjacency matrix and degree diagonal matrix of $G$ are denoted by $A(G)$ and $D(G)$, respectively. In 2017, Nikiforov \cite{0007} proposed the $A_{\alpha }$-matrix:…