Recent results on the power domination numbers of graph products

K. W. Soh, K. M. Koh

semanticscholar(2018)

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摘要
We review recent results on the power domination problem of graph products and establish improved results for some families of graph products, namely, Cn × Cm, Pn × Cm, Pn Pm, Pn Cm and Cn Cm. We also characterize graphs G and H for which the power domination number of the Cartesian product of G and H, which is denoted as γp(G 2 H), is 1.
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