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math.CO2023
Eternal Distance-2 Domination in Trees
Alexander Clow, Christopher M van Bommel
We consider the eternal distance-2 domination problem, recently proposed by Cox, Meger, and Messinger, on trees. We show that finding a minimum eternal distance-2 dominating set of…
math.CO2014
Mutually orthogonal latin squares with large holes
Peter J. Dukes, Christopher M. van Bommel
Two latin squares are orthogonal if, when they are superimposed, every ordered pair of symbols appears exactly once. This definition extends naturally to `incomplete' latin squares…