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Double Roman domination in trees

Information Processing Letters, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiujun Zhang, Zepeng Li, Huiqin Jiang
exaly   +4 more sources

On the double Roman domination of graphs

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Yue, Meiqin Wei
exaly   +3 more sources

Double Roman domination number

Discrete Applied Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aparna Lakshmanan S
exaly   +3 more sources

Double Roman Domination in Digraphs

Bulletin of the Malaysian Mathematical Sciences Society, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guoliang Hao   +2 more
exaly   +3 more sources

Outer independent double Roman domination

Applied Mathematics and Computation, 2020
An outer independent double Roman dominating function (OIDRDF) of a graph G is a function h from V(G) to {0, 1, 2, 3} for which each vertex with label 0 is adjacent to a vertex with label 3 or at least two vertices with label 2, and each vertex with ...
Mustapha Chellali, S M Sheikholeslami
exaly   +2 more sources

Weak Double Roman Domination

Bulletin of the Malaysian Mathematical Sciences Society
The authors introduce a new variant of domination in graphs called weak double Roman domination (WDRD), which generalizes the well-studied concept of double Roman domination (DRD) by relaxing certain constraints. Given a graph \( G = (V, E) \), a WDRD-function is a labeling \( f: V \to \{0,1,2,3\} \) that satisfies the following condition: every vertex
Soltani, S.   +4 more
openaire   +2 more sources

Inverse double Roman domination in graphs

Discrete Mathematics, Algorithms and Applications, 2022
For a graph [Formula: see text], a double Roman dominating function (DRDF) is a function [Formula: see text] such that each vertex [Formula: see text] with [Formula: see text] is adjacent to at least two vertices labeled [Formula: see text] or one vertex labeled [Formula: see text] and each vertex [Formula: see text] with [Formula: see text] is ...
Wilma Laveena D' Souza   +2 more
openaire   +2 more sources

Double Roman Domination in Cartesian Product

Creative Mathematics and Informatics
Given a graph $G=(V,E)$, a function $f:V\rightarrow \{0,1,2,3\}$ having the property that if $f(v)=0$, then there exist $ v_{1},v_{2}\in N(v)$ such that $f(v_{1})=2=f(v_{2})$ or there exists $ w \in N(v)$ such that $f(w)=3$, and if $f(v)=1$, then there exists $ w \in N(v)$ such that $f(w)\geq 2$ is called a double Roman dominating function (DRDF). The
Anu, V., Aparna, Lakshmanan S.
openaire   +2 more sources

The Restrained Double Roman Domination in Graphs

Bulletin of the Malaysian Mathematical Sciences Society, 2022
A double Roman dominating function on a graph \(G=(V(G), E(G))\) is a function \(f : V(G)\rightarrow \{0, 1, 2, 3\}\) satisfying the property that every vertex assigned 0 has at least two neighbors assigned 2 or one neighbor assigned 3, and every vertex assigned 1 has at least one neighbor assigned 2 or 3.
Changqing Xi, Jun Yue
openaire   +2 more sources

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