Connected Baranyai's Theorem

Amin Bahmanian

Let $K_n^h=(V,(\genfrac{}{}{0ex}{}{V}{h}))$ be the complete $h$-uniform hypergraph on vertex set $V$ with $|V|=n$. Baranyai showed that $K_n^h$ can be expressed as the union of edge-disjoint $r$-…