On the distribution of $A_{\alpha }$-eigenvalues in terms of graph invariants

Uilton Cesar Peres Junior, Carla Silva Oliveira, André Ebling Brondan

Let $G$ be a connected graph of order $n$, and $A(G)$ and $D(G)$ its adjacency and degree diagonal matrices, respectively. For a parameter $\alpha \in [0,1]$, Nikiforov~(2017) introduced…