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Power Domination in Knödel Graphs and Hanoi Graphs

Seethu Varghese; A. Vijayakumar; Andreas M. Hinz — 2018

Discussiones Mathematicae Graph Theory

In this paper, we study the power domination problem in Knödel graphs WΔ,2ν and Hanoi graphs [...] Hpn $H_{p}^{n}$ . We determine the power domination number of W3,2ν and provide an upper bound for the power domination number of Wr+1,2r+1 for r ≥ 3. We also compute the k-power domination number and the k-propagation radius of [...] Hp2 $H_{p}^{2}$ .

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