R. El-Shanawany

On Cartesian Products of Any Finite Number of Orthogonal Double Covers

R. El-Shanawany & A. El-Mesady · Current Journal of Applied Science and Technology · 2014

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.

Open access Research Article 10.9734/BJAST/2014/8689

Orthogonal Double Covers of Kn,n by Infinite Classes of Disjoint Unions of Certain Complete Bipartite Spanning Subgraphs

S. El-Serafi, R. El-Shanawany & A. El-Mesady · Advances in Research · 2014

An orthogonal double cover (ODC) of any graph H  is a collection of spanning subgraphs of H such that every two of them share exactly one edge at most, and every edge of the graph H belongs to exactly two of the spanning graphs. In this paper, we are concerned with the orthogonal...

Open access Research Article 10.9734/AIR/2014/10262