1 citations · 1 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Cooling graph products
Anthony Bonato, MacKenzie Carr, Caleb Jones +2
The cooling number measures the speed at which a slow-moving influence or contagion spreads on a graph. In this paper, we investigate the cooling number of four classical graph pro…
2-cell embeddings of cubic graphs I. The unstable dual
MacKenzie Carr, Bojan Mohar
In this paper, the first of a two-part series, we explore 2-cell embeddings of cubic graphs, particularly those with small genus. Using local rotations, we introduce a new way of d…
The Iterated Local Model for tournaments
Anthony Bonato, MacKenzie Carr, Ketan Chaudhary +2
Transitivity is a central, generative principle in social and other complex networks, capturing the tendency for two nodes with a common neighbor to form a direct connection. We pr…