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

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