Shadows of 3-uniform hypergraphs under a minimum degree condition

Zoltán Füredi, Yi Zhao

We prove a minimum degree version of the Kruskal--Katona theorem: given $d\ge 1/4$ and a triple system $F$ on $n$ vertices with minimum degree at least $d\left(\genfrac{}{}{0ex}{}{n}{2}\right)$, we obtain asym…