Power Domination in Knödel Graphs and Hanoi Graphs
Seethu Varghese ; A. Vijayakumar ; Andreas M. Hinz
Discussiones Mathematicae Graph Theory, Tome 38 (2018), p. 63-74 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

In this paper, we study the power domination problem in Knödel graphs WΔ,2ν and Hanoi graphs [...] Hpn Hpn . 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 Hp2 .

Publié le : 2018-01-01
EUDML-ID : urn:eudml:doc:288586 
@article{bwmeta1.element.doi-10_7151_dmgt_1993,
     author = {Seethu Varghese and A. Vijayakumar and Andreas M. Hinz},
     title = {Power Domination in Kn\"odel Graphs and Hanoi Graphs},
     journal = {Discussiones Mathematicae Graph Theory},
     volume = {38},
     year = {2018},
     pages = {63-74},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_1993}
}

Seethu Varghese; A. Vijayakumar; Andreas M. Hinz. Power Domination in Knödel Graphs and Hanoi Graphs. Discussiones Mathematicae Graph Theory, Tome 38 (2018) pp. 63-74. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1993/