1 citations · 1 across the 2 of their papers we have counts for
3 papers
Switching -mixed graphs with respect to Abelian groups
E. Leclerc, G. MacGillivray, J. M. Warren
We extend results of Brewster and Graves for switching -edge coloured graphs with respect to a cyclic group to switching -mixed graphs with respect to an Abelian group.…
Inertias of Laplacian matrices of weighted signed graphs
Keivan Hassani Monfared, Gary MacGillivray, Dale D. Olesky +1
We study the sets of inertias achieved by Laplacian matrices of weighted signed graphs. First we characterize signed graphs with a unique Laplacian inertia. Then we show that there…
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…