Paper Info
Title
Orthogonal colourings of Cayley graphs
Abstract
Two colourings of a graph are orthogonal if they have the property that when two vertices are coloured with the same colour in one colouring, then those vertices receive distinct colours in the other colouring. In this paper, orthogonal colourings of Cayley graphs are discussed. Firstly, the orthogonal chromatic number of cycle graphs are completely determined. Secondly, the orthogonal chromatic number of certain circulant graphs is explored. Lastly, orthogonal colourings of product graphs and Hamming graphs are studied.
Year
DOI
Venue
2020
10.1016/j.disc.2020.112079
Discrete Mathematics
Keywords
DocType
Volume
Orthogonal colourings,Cayley graphs,Cycle graphs
Journal
343
Issue
ISSN
Citations 
11
0012-365X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Jeannette Janssen129532.23
Kyle MacKeigan200.34