Decompositions of 3-uniform hypergraph K_υ~(3) into hypergraph K_4~(3)+ e

摘要

In this paper it is established that a decomposition of a 3-uniform hypergraph K_υ~(3) into a special kind of hypergraph K_4~(3) + e exists if and only if υ ≡ 0, 1, 2 (mod 5) and υ ≥ 7.