Bounds on $A_{\alpha }$-eigenvalues using graph invariants

João Domingos Gomes da Silva Junior, Carla Silva Oliveira, Liliana Manuela Gaspar Cerveira da Costa

In 2017, Nikiforov introduced the concept of the $A_{\alpha }$-matrix, as a linear convex combination of the adjacency matrix and the degree diagonal matrix of a graph. This matrix has att…