An acyclic $d$-partition of the $r$-uniform complete hypergraph $K_{rd}^{(r)}$

Ayako Carter, Eric Montoya, Mihai D. Staic

In this paper we introduce a $d$-partition ${\mathcal{E}}_d^{(r)}=(\hat{I}{\text{c◯}}_1^{(r,d)},\hat{I}{\text{c◯}}_2^{(r,d)},\dots ,\hat{I}{\text{c◯}}_d^{(r,d)})$ of the $r$-uniform complete hypergraph $K_{rd}^{(r)}$. We prove th…