Decompositions of λ-fold complete bipartite 3-uniform hypergraphs λKn,n(3) into hypergraph K4(3) - e

Abstract

In this paper, we consider one type of hypergraph decompositions. We show that a (K₄⁽³⁾ - e)-decomposition of a λ-fold complete bipartite 3-uniform hypergraph λK_n,n⁽³⁾ exists if and only if 3|λn²(n - 1) and n ≥ 2. © 2020 Utilitas Mathematica Publishing Inc.. All rights reserved.