4 papers
Deduction with moves
Andrea C. Burgess, Nancy E. Clarke, Shannon L. Fitzpatrick +1
The deduction game may be thought of as a variant on the classical game of cops and robber in which the cops (searchers) aim to capture an invisible robber (evader); each cop is al…
Minimal Graph Embeddings via Point Deletions in Steiner triple systems
Melissa A. Huggan, Svenja Huntemann, Brett Stevens
The game Nofil is a two-player combinatorial game in which players take turns marking points of a design such that the set of marked points does not contain a block. Equivalently,…
A note on the strength of a hypercube
Melissa A. Huggan, M. E. Messinger, Dylan Pearson
As a generalization of super magic strength, the strength of a graph was introduced in [R. Ichishima, F.A. Muntaner-Batle, A. Oshima, Bounds for the strength of graphs, Austral. J.…
The damage number of the Cartesian product of graphs
Melissa A. Huggan, Margaret-Ellen Messinger, Amanda Porter
We consider a variation of Cops and Robber, introduced in [D. Cox and A. Sanaei, The damage number of a graph, [Aust. J. of Comb. 75(1) (2019) 1-16] where vertices visited by a rob…