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Roman and Double Roman Domination Numbers for Wheel, Ladder, and Fan Graphs
International Journal of Mathematics Trends and TechnologyWe 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
Research on the Double Roman Domination Number of Some Special Graphs
Advances in Applied Mathematics, 2022openaire +1 more source
Roman {3}-domination (double Italian domination)
Discrete Applied Mathematics, 2020Doost Ali Mojdeh, Lutz Volkmann
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Research on the Double Roman Domination Numbers of Graph and Its Induced Subgraphs
Pure Mathematics, 2022openaire +1 more source
Outer independent double Roman domination
Applied Mathematics and Computation, 2020Mustapha Chellali +2 more
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On the double Roman domination in graphs
Discrete Applied Mathematics, 2017Hossein Abdollahzadeh Ahangar +1 more
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On the double Roman domination of graphs
Applied Mathematics and Computation, 2018Jun Yue, Meiqin Wei
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Signed double Roman domination in graphs
Discrete Applied Mathematics, 2019Hossein Abdollahzadeh Ahangar +1 more
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