The independence number of non-uniform uncrowded hypergraphs and an anti-Ramsey type result

Sang June Lee, Hanno Lefmann

We prove the following: Fix an integer $k\ge 2$, and let $T$ be a real number with $T\ge 1.5$. Let $\cH=(V,\cE_2\cup \cE_3\cup\dots\cup\cE_k)$ be a non-uniform hypergraph with th…