A New Method of Cyclic m-Cycle Systems of  Kn,n

摘要

Let K_n,n denote the complete bipartite graph with n vertices in each part. In this paper, we use difference method to construct the cyclic m-cycle with the short track, and determine necessary and sufficient conditions for the existence of cyclic m-cycle systems of K_n,n for all integers satisfying the requirements of 30< m les 150 and m equiv 2 (mod 4).