The Asymptotic Bound of the Lubell Function for Diamond-free Families

Wei-Tian Li

For a family of subsets of $[n]:=1,2,...,n$, the Lubell function is defined as $\hb_n(\F):=\sum_{F\in\F}\binom{n}{|F|}^{-1}$. In \cite{GriLiLu}, Griggs, Lu, and the author conjec…