Rainbow Berge Hamiltonicity in edge-colored random $k$-uniform hypergraphs

Liping Zhang, Ailian Chen

Let $H\sim H_c^k(n,p)$ be an edge-colored random $k$-uniform hypergraph on the vertex set $[n]$, where each edge $e\in \left(\genfrac{}{}{0ex}{}{[n]}{k}\right)$ is included independently with probabilit…