Large sets of Hamilton cycle decompositions of complete bipartite 3-uniform hypergraphs

摘要

Using the Katona-Kierstead (K-K) definition of a Hamilton cycle in a uniform hypergraph, we investigate the existence of large sets of wrapped K-K Hamilton cycle decompositions of the complete bipartite 3-uniform hypergraph K-n,n((3)), settling the existence whenever n is odd. We also prove that there exists a large set of double wrapped K-K Hamilton cycle decompositions of K-n,K-n ((3)) if and only if n is even.