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Outer independent signed double Roman domination

Journal of Applied Mathematics and Computing, 2021
Suppose $$[3]=\{0,1,2,3\}$$ and $$[3^{-}]=\{-1,1,2,3\}$$ . An outer independent signed double Roman dominating function (OISDRDF) of a graph
H. Abdollahzadeh Ahangar, F. Nahani Pour, Mustapha Chellali, Seyed Mahmoud Sheikholeslami   +3 more
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New bounds on the outer-independent total double Roman domination number

Discrete Mathematics, Algorithms and Applications, 2023
A double Roman dominating function (DRDF) on a graph [Formula: see text] is a function [Formula: see text] satisfying (i) if [Formula: see text] then there must be at least two neighbors assigned two under [Formula: see text] or one neighbor [Formula: see text] with [Formula: see text]; and (ii) if [Formula: see text] then [Formula: see text] must be ...
Seyed Mahmoud Sheikholeslami, L. Volkmann   +1 more
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Algorithmic Aspects of Outer-Independent Double Roman Domination in Graphs

International Journal of Foundations of Computer Science
Let [Formula: see text] be graph. For any function [Formula: see text], let [Formula: see text], [Formula: see text]. The function [Formula: see text] is called an outer-independent double Roman dominating function (OIDRDF) if the following conditions are satisfied.
Amit Sharma, P. Venkata Subba Reddy, S. Arumugam, Jakkepalli Pavan Kumar   +3 more
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Independent double roman domination number of a tree in terms of its 2-independence number

Discrete Mathematics, Algorithms and Applications
Let [Formula: see text] be a simple graph. An independent double Roman dominating function (IDRDF) on a graph [Formula: see text] is a function [Formula: see text] having the property that first if [Formula: see text], then vertex [Formula: see text] has at least two neighbors assigned [Formula: see text] under [Formula: see text] or one neighbor ...
Halimeh Koulivand, Mohammad Habibi, Hassan Arianpoor, Mina Valinavaz   +3 more
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Independent Signed Double Roman Domination

Advances in Applied Mathematics
柠 李
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Outer independent double Roman domination

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H. Abdollahzadeh Ahangar, Mustapha Chellali, Seyed Mahmoud Sheikholeslami   +2 more
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