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Research Article Open access CC BY 3.0

On Cyclic Orthogonal Double Covers of Circulant Graphs using Infinite Graph Classes

M. Higazy

Journal of Advances in Mathematics and Computer Science · pp. 425–436 · Published 15 Jun 2013

10.9734/BJMCS/2013/4165

Abstract

An orthogonal double cover (ODC) of a graph  is a collection  of  subgraphs of  such that every edge of  is contained in exactly two members of  and for any two members  and  in ,  is 1 if  and it is 0 if . An ODC  of  is cyclic (CODC) if the cyclic group of order  is a subgroup of the automorphism group of . In this paper, the CODCs of certain circulants with a specific regularity by certain infinite graph classes are concerned.

Graph decomposition orthogonal double covers orthogonal labelling circulants

Cited by 2

Orthogonal Labeling for Some Different Infinite Graph Classes

A. El-Mesady, T. Farahat · Missouri Journal of Mathematical Sciences · 2022

On cyclic orthogonal double covers of circulant graphs by special infinite graphs

R. El-Shanawany, A. El-Mesady · AKCE International Journal of Graphs and Combinatorics · 2017

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