2 papers
math.CO2026
Eternal domination in Cayley graphs
MacKenzie Carr, Nancy E. Clarke, Gary MacGillivray +1
Eternal domination is a process in which a set of guards occupying a dominating set on a graph protects against an infinite sequence of attacks. After a vertex is attacked, one gua…
math.CO2026
The Gamma-Switch Ramsey Number
Christopher Duffy, Benjamin Fok, Gary MacGillivray
We define and develop preliminary theoretical results for the -switch Ramsey number, a variation on the classical -colour Ramsey number for which we allow permuting the colo…