13 citations · 35 across the 16 of their papers we have counts for
3 papers · 1 filter
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…
Cyclic cycle systems of the complete multipartite graph
Andrea Burgess, Francesca Merola, Tommaso Traetta
In this paper, we study the existence problem for cyclic -cycle decompositions of the graph , the complete multipartite graph with parts of size , and give nec…
The Firebreak Problem
Kathleen D. Barnetson, Andrea C. Burgess, Jessica Enright +3
Suppose we have a network that is represented by a graph . Potentially a fire (or other type of contagion) might erupt at some vertex of . We are able to respond to this outb…