Large sets of Hamilton cycle decompositions of complete bipartite graphs

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