Results 11 to 20 of about 85,878 (263)
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Beeler, Robert A. +2 more
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Signed double Roman domination in graphs
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Hossein Abdollahzadeh Ahangar +2 more
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Maximal double Roman domination in graphs
A maximal double Roman dominating function (MDRDF) on a graph $G=(V,E)$ is a function $f:V(G)\rightarrow \{0,1,2,3\}$ such that \textrm{(i) }every vertex $v$ with $f(v)=0$ is adjacent to least two vertices { assigned $2$ or to at least one vertex assigned $3,$} \textrm{(ii) }every vertex $v$ with $f(v)=1$ is adjacent to at least one { vertex assigned ...
Abdollahzadeh Ahangar, H. +3 more
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Discharging Approach for Double Roman Domination in Graphs
The discharging method is most well-known for its central role in the proof of the Four Color Theorem. This proof technique was extensively applied to study various graph coloring problems, in particular on planar graphs.
Zehui Shao +5 more
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Perfect double Roman domination of trees
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Egunjobi, Ayotunde T., Haynes, Teresa W.
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The Double Roman Domination Numbers of Generalized Petersen Graphs P(n, 2)
A double Roman dominating function (DRDF) f on a given graph G is a mapping from V ( G ) to { 0 , 1 , 2 , 3 } in such a way that a vertex u for which f ( u ) = 0 has at least a neighbor labeled 3 or two neighbors both labeled 2 ...
Huiqin Jiang +4 more
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On the double Roman domination in graphs
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Abdollahzadeh Ahangar, Hossein +2 more
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Calculating Modern Roman Domination of Fan Graph and Double Fan Graph [PDF]
This paper is concerned with the concept of modern Roman domination in graphs. A Modern Roman dominating function on a graph is labeling such that every vertex with label 0 is adjacent to two vertices; one of them of label 2 and the other of label 3 and ...
Saba Salah, Ahmed Omran, Manal Al-Harere
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Bounds on the Double Italian Domination Number of a Graph
For a graph G, a Roman {3}-dominating function is a function f : V → {0, 1, 2, 3} having the property that for every vertex u ∈ V, if f(u) ∈ {0, 1}, then f(N[u]) ≥ 3.
Azvin Farzaneh, Rad Nader Jafari
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On the D-differential of a graph
Let [Formula: see text] be a graph of order n(G). For a subset S of V(G), the boundary of S is defined as [Formula: see text] where N(S) is the open neighborhood of S.
Kijung Kim
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