Decompositions of 3-uniform hypergraph K v (3) into hypergraph K 4 (3) + e

Abstract

In this paper it is established that a decomposition of a 3-uniform hypergraph K _v ⁽³⁾ into a special kind of hypergraph K ₄ ⁽³⁾ + e exists if and only if v = 0,1,2 (mod 5) and v ≥ 7.