Explicit Baranyai Partitions for Quadruples, Part I: Quadrupling Constructions

Yeow Meng Chee, Tuvi Etzion, Han Mao Kiah +2

It is well known that, whenever $k$ divides $n$, the complete $k$-uniform hypergraph on $n$ vertices can be partitioned into disjoint perfect matchings. Equivalently, the set of $k…