Decomposing the \(\lambda \) -Fold Complete 3-Uniform Hypergraph into the Lines of the Pasch Configuration
摘要
Let P denote the 3-uniform hypergraph on 6 vertices whose edges form the lines of the Pasch configuration. We give necessary and sufficient conditions for the existence of P-decompositions of the \(\lambda \) -fold complete 3-uniform hypergraph on v vertices.