Outer independent rainbow dominating functions in graphs

A 2-rainbow dominating function (2-rD function) of a graph \(G=(V,E)\) is a function \(f:V(G)\rightarrow\{\emptyset,\{1\},\{2\},\{1,2\}\}\) having the property that if \(f(x)=\emptyset\), then \(f(N(x))=\{1,2\}\). The 2-rainbow domination number \(\gamma_{r2}(G)\) is the minimum weight of \(\sum_{v\...

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Bibliographic Details
Main Authors: Zhila Mansouri, Doost Ali Mojdeh
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2020-10-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol40/5/art/opuscula_math_4033.pdf