On Cartesian Products of Any Finite Number of Orthogonal Double Covers
R. El-Shanawany
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufyia University, Menouf, Egypt
A. El-Mesady *
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufyia University, Menouf, Egypt
*Author to whom correspondence should be addressed.
Abstract
We are concerned with the cartesian products of any finite number of symmetric starter vectors of orthogonal double covers of the complete bipartite graphs and use this method to construct ODCs by new infinite classes of disjoint unions of complete bipartite graphs.
Keywords: Graph decomposition, orthogonal double cover, symmetric starter, cartesian product