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An Orthogonal Double Cover (ODC) of the complete graph is a set of graphs such that every two of them share exactly one edge and every edge of the complete graph belongs to exactly two of the graphs. We consider the case where the graph to be covered twice is the complete bipartite graphs, and all graphs in the collection are isomorphic to the spanning subgraph G (union of certain stars).

ORTHOGONAL DOUBLE COVERS OF COMPLETE BIPARTITE GRAPH BY THE UNION OF CERTAIN STARS