3 papers
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…
quant-ph2021
Quantum walks do not like bridges
Gabriel Coutinho, Chris Godsil, Emanuel Juliano +1
We consider graphs with two cut vertices joined by a path with one or two edges, and prove that there can be no quantum perfect state transfer between these vertices, unless the gr…
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…