Lu-Sheng Fang

Spectral Tur\'an problems for complete bipartite expansions in linear hypergraphs

An $r$-uniform hypergraph is linear if any two edges share at most one vertex. For a family $\mathcal F$ of $r$-graphs, let $\text{ex}^{\text{lin}}_r(n,\mathcal F)$ and $\text{spex}^{\text{lin}}_r(n,\mathcal F)$ denote, respectively, the maximum number of edges and the maximum spectral radius of an $n$-vertex $\mathcal...