# Power Domination in Knödel Graphs and Hanoi Graphs

Seethu Varghese; A. Vijayakumar; Andreas M. Hinz

Discussiones Mathematicae Graph Theory (2018)

- Volume: 38, Issue: 1, page 63-74
- ISSN: 2083-5892

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topSeethu Varghese, A. Vijayakumar, and Andreas M. Hinz. "Power Domination in Knödel Graphs and Hanoi Graphs." Discussiones Mathematicae Graph Theory 38.1 (2018): 63-74. <http://eudml.org/doc/288586>.

@article{SeethuVarghese2018,

abstract = {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 $H_p^2$ .},

author = {Seethu Varghese, A. Vijayakumar, Andreas M. Hinz},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {domination; power domination; Knödel graph; Hanoi graph},

language = {eng},

number = {1},

pages = {63-74},

title = {Power Domination in Knödel Graphs and Hanoi Graphs},

url = {http://eudml.org/doc/288586},

volume = {38},

year = {2018},

}

TY - JOUR

AU - Seethu Varghese

AU - A. Vijayakumar

AU - Andreas M. Hinz

TI - Power Domination in Knödel Graphs and Hanoi Graphs

JO - Discussiones Mathematicae Graph Theory

PY - 2018

VL - 38

IS - 1

SP - 63

EP - 74

AB - 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 $H_p^2$ .

LA - eng

KW - domination; power domination; Knödel graph; Hanoi graph

UR - http://eudml.org/doc/288586

ER -

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