Note on the diversity of intersecting families

Xiaomei Chen, Peng Jin

Let $n=2k+1$ be odd with $k\ge 3$. In this note, we give two intersecting families with diversity larger than ${\sum }_{i=k+1}^{2k}\left(\genfrac{}{}{0ex}{}{2k}{i}\right)$, which disprove a conjecture of Hua…