3 papers
cs.DM2018
Oriented Colourings of Graphs with Maximum Degree Three and Four
Christopher Duffy, Gary MacGillivray, Eric Sopena
We show that any orientation of a graph with maximum degree three has an oriented 9-colouring, and that any orientation of a graph with maximum degree four has an oriented 69-colou…
cs.DM2017
Equitable neighbour-sum-distinguishing edge and total colourings
Olivier Baudon, Monika Pilsniak, Jakub Przybylo +3
With any (not necessarily proper) edge -colouring of a graph ,one can associate a vertex colouring given by $σ\_γ(v)=\sum\_{e\ni v…
cs.DM2010
Upper oriented chromatic number of undirected graphs and oriented colorings of product graphs
Eric Sopena
The oriented chromatic number of an oriented graph is the minimum order of an oriented graph $\vev H$ such that admits a homomorphism to $\vev H$. The oriented ch…