A stability result for Berge-$K_{3,t}$ $r$-graphs and its applications

Junpeng Zhou, Xiying Yuan, Wen-Huan Wang

An $r$-uniform hypergraph ($r$-graph) is linear if any two edges intersect at most one vertex. For a graph $F$, a hypergraph $H$ is Berge-$F$ if there is a bijection $ϕ:E(F)\righta…