l-MUTUALLY ORTHOGONAL COVERS OF COMPLETE BIPARTITE GRAPHS
A family of isomorphic copies of a given spanning subgraph G is said to be l-mutually orthogonal covers (l-MOCs) of the complete bipartite graph by G if every edge of belongs to exactly l members of and any two different elements from share at most one edge. In this paper, it is proved that the complete bipartite graph for p prime, has p-MOCs by a path of length p. It is also determined the maximum number for which there exist l-MOCs of by all possible subgraphs when
graph decomposition, orthogonal double cover, MOLSs, MOGSs, l-MOCs.