El-Shanawany, R.A., Higazy, M.S. and Scapellato, R. (2009) Orthogonal Double Covers of Complete Bipartite Graphs by the Union of a Cycle and a Star. Australasian Journal of Combinatorics, 43, 281-293.

has been cited by the following article:

• TITLE: General Cyclic Orthogonal Double Covers of Finite Regular Circulant Graphs

  AUTHORS: Ramadan El-Shanawany, Hanan Shabana

  KEYWORDS: Graph Decomposition, Cyclic Orthogonal Double Cover, Automorphism Group, Orthogonal Labelling

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.4 No.2, April 10, 2014

  ABSTRACT: An orthogonal double cover (ODC) of a graph H is a collection of subgraphs (pages) of H, so that they cover every edge of H twice and the intersection of any two of them contains exactly one edge. An ODC G of H is cyclic (CODC) if the cyclic group of order is a subgroup of the automorphism group of G. In this paper, we introduce a general orthogonal labelling for CODC of circulant graphs and construct CODC by certain classes of graphs such as complete bipartite graph, the union of the co-cycles graph with a star, the center vertex of which, belongs to the co-cycles graph and graphs that are connected by a one vertex.