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

Document Type : Original Article

Authors

Department of Physics and Engineering Mathematics Faculty Of Electronic Engineering Menoufyia University, Men05 Egypt.

Abstract

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).

Keywords