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math.CO2012★ 1 cited
Poset-free Families and Lubell-boundedness
Jerrold R. Griggs, Wei-Tian Li
Given a finite poset , we consider the largest size $\lanp$ of a family $\F$ of subsets of that contains no subposet . This continues the study of the asym…
math.CO2012
The Asymptotic Bound of the Lubell Function for Diamond-free Families
Wei-Tian Li
For a family of subsets of , 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…