A complete solution of the $k$-uniform supertrees with the eight largest $\alpha$-spectral radii

Lou-Jun Yu, Wen-Huan Wang

Let $\mathcal{T}(n,k)$ be the set of the $k$-uniform supertrees with $n$ vertices and $m$ edges, where $k\ge 3$, $n\ge 5$ and $m=\frac{n-1}{k-1}$. % Let $m$ be the number of the…