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arXiv · 1512.06413

Power propagation time and lower bounds for power domination number

Daniela Ferrero·Leslie Hogben·Franklin H. J. Kenter·Michael Young
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Abstract

We present a counterexample to a lower bound for the power domination number given in Liao, Power domination with bounded time constraints, J. Comb. Optim. 31 (2016)725-742. We also define the power propagation time, using the power domination propagation ideas in Liao and the (zero forcing) propagation time in Hogben et al, Propagation time for zero forcing on a graph, Discrete Appl. Math.160 (2012) 1994-2005.

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Daniela Ferrero, Leslie Hogben, Franklin H. J. Kenter, Michael Young. 2016-11-17. Power propagation time and lower bounds for power domination number. https://arxiv.org/abs/1512.06413

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