Large Sets of Almost Hamilton Cycle and Path Decompositions of Complete Bipartite Graphs

In this paper, we give necessary and sufficient conditions for the existence of large sets of almost Hamilton cycle decompositions of $$\lambda K_{m,n}$$?Km,n. We also give necessary and sufficient conditions for the existence of large sets of almost Hamilton path decompositions of $$\lambda K_{n,n}$$?Kn,n.