Large sets of Hamilton cycle decompositions of complete bipartite graphs

Let K2t+1,2t+1−IK2t+1,2t+1−I denote the complete bipartite graph K2t+1,2t+1K2t+1,2t+1 minus a 1-factor. In this paper, we prove that there exist a large set of Hamilton cycle decomposition of K2t,2tK2t,2t and a large set of Hamilton cycle decomposition of K2t+1,2t+1−IK2t+1,2t+1−I.