Most A${}_{\alpha }$-eigenvalues of a tree are small

Elvia P. Barturén, Elismar R. Oliveira

We study the distribution of $A_{\alpha }$-eigenvalues of a tree. We extend the works \cite{Jacobs2021} and \cite{SIN2020} by proving that the number of $A_{\alpha }$-eigenvalues, for $0\leq α\leq…