3 citations · 3 across the 2 of their papers we have counts for
4 papers
Bounding the Eviction Number of a Graph in Terms of its Independence Number
Gary MacGillivray, Christina Mynhardt, Virgelot Virgile
An eternal dominating family of graph in the eviction game is a collection of dominating sets of such that (a) for a…
A method for eternally dominating strong grids
Alizée Gagnon, Alexander Hassler, Jerry Huang +5
In the eternal domination game, an attacker attacks a vertex at each turn and a team of guards must move a guard to the attacked vertex to defend it. The guards may only move to ad…
Eternal domination on prisms of graphs
Aaron Krim-Yee, Ben Seamone, Virgélot Virgile
An eternal dominating set of a graph is a set of vertices (or "guards") which dominates and which can defend any infinite series of vertex attacks, where an attack is defen…
A study of cops and robbers in oriented graphs
Devvrit Khatri, Natasha Komarov, Aaron Krim-Yee +4
We consider the well-studied cops and robbers game in the context of oriented graphs, which has received surprisingly little attention to date. We examine the relationship between…