SUBORTHOGONAL DOUBLE COVERS OF THE COMPLETE BIPARTITE GRAPHS BY ALL BIPARTITE SUBGRAPHS WITH FIVE EDGES OVER FINITE GROUPS
A family of isomorphic copies of a given spanning subgraph G is said to be a suborthogonal double cover (SODC) of the complete bipartite graph by G, if every edge of belongs to exactly two members of and any two different elements from share at most one edge. In this paper, we prove that has SODCs by all bipartite subgraphs with five edges whenever n is multiple of 5.
graph decomposition, ODCs, SODCs.