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Roman and Double Roman Domination Numbers for Wheel, Ladder, and Fan Graphs

International Journal of Mathematics Trends and Technology
We determine exact values of the Roman domination number γR(G) and the double Roman domination number γdR(G) for three foundational families of graphs: wheel graphs Wn (n ≥ 3), ladder graphs Ln (n ≥ 2), and fan graphs Fn (n ≥ 2). For wheel graphs, we establish γR(Wn) = 2 and γdR(Wn) = 3 for all n ≥ 3.
openaire   +1 more source

Roman {3}-domination (double Italian domination)

Discrete Applied Mathematics, 2020
Doost Ali Mojdeh, Lutz Volkmann
exaly  

Outer independent double Roman domination

Applied Mathematics and Computation, 2020
Mustapha Chellali   +2 more
exaly  

Perfect double Roman domination of trees

Discrete Applied Mathematics, 2020
Teresa Haynes
exaly  

On the double Roman domination in graphs

Discrete Applied Mathematics, 2017
Hossein Abdollahzadeh Ahangar   +1 more
exaly  

On the double Roman domination of graphs

Applied Mathematics and Computation, 2018
Jun Yue, Meiqin Wei
exaly  

Signed double Roman domination in graphs

Discrete Applied Mathematics, 2019
Hossein Abdollahzadeh Ahangar   +1 more
exaly  

Double Roman domination in trees

Information Processing Letters, 2018
Huiqin Jiang   +2 more
exaly  

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