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.