Xiao-Qi Liu

Uniform Hypergraphs with $\alpha$-Spectral Radius at Most That of a Loose Cycle

Let $k\geq 3$ and $\alpha\in[0,1)$, and let $\lambda_k(\alpha)$ denote the $\alpha$-spectral radius of a $k$-uniform loose cycle. Lu and Man classified all connected $k$-uniform hypergraphs with adjacency spectral radius at most $\lambda_k(0)$. In this paper, we extend their classification to the $\alpha$-spectral sett...