21 citations · 47 across the 15 of their papers we have counts for
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math.CO2019
Colourings of star systems
Iren Darijani, David Pike
An -star is a complete bipartite graph . An -star system of order , , is a partition of the edges of the complete graph into -stars. An -sta…
math.CO2019★ 13 cited
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…
math.CO2019★ 3 cited
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…