A note on k-Roman graphs

Let \(G=\left(V,E\right)\) be a graph and let \(k\) be a positive integer. A subset \(D\) of \(V\left( G\right) \) is a \(k\)-dominating set of \(G\) if every vertex in \(V\left( G\right) \backslash D\) has at least \(k\) neighbours in \(D\). The \(k\)-domination number \(\gamma_{k}(G)\) is the min...

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Bibliographic Details
Main Authors: Ahmed Bouchou, Mostafa Blidia, Mustapha Chellali
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2013-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol33/4/art/opuscula_math_3335.pdf