On a conjecture of Hefetz and Keevash on Lagrangians of intersecting hypergraphs and Turán numbers

Biao Wu, Yuejian Peng, Pingge Chen

Let $S^r(n)$ be the $r$-graph on $n$ vertices with parts $A$ and $B$, where the edges consist of all $r$-tuples with $1$ vertex in $A$ and $r-1$ vertices in $B$, and the sizes of $…