13 citations · 26 across the 10 of their papers we have counts for
11 papers
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…
Complexity of injective homomorphisms to small tournaments, and of injective oriented colourings
Russell J. Campbell, Nancy E. Clarke, Gary MacGillivray
Several possible definitions of local injectivity for a homomorphism of an oriented graph to an oriented graph are considered. In each case, we determine the complexity of…
Obstructions to some injective oriented colourings
Russell Campbell, Nancy E. Clarke, Gary MacGillivray
Each of several possible definitions of local injectivity for a homomorphism of an oriented graph to an oriented graph leads to an injective oriented colouring problem. For…
Eigenfunctions restriction estimates for curves with nonvanishing geodesic curvatures in compact Riemannian surfaces with nonpositive curvature
Chamsol Park
For , we study the norms of restrictions of eigenfunctions of the Laplace-Beltrami operator on smooth compact -dimensional Riemannian manifolds. Burq, Gérard, a…
A note on hyperopic cops and robber
Nancy E. Clarke, Stephen Finbow, Margaret-Ellen Messinger +1
We explore a variant of the game of Cops and Robber introduced by Bonato et al.~where the robber is invisible unless outside the common neighbourhood of the cops. The hyperopic cop…
Cops that surround a robber
Andrea C. Burgess, Rosalind A. Cameron, Nancy E. Clarke +4
We introduce the game of Surrounding Cops and Robbers on a graph, as a variant of the original game of Cops and Robbers. In contrast to the original game in which the cops win by o…