Strong Equality Between the Roman Domination and Independent Roman Domination Numbers in Trees

A Roman dominating function (RDF) on a graph G = (V,E) is a function f : V −→ {0, 1, 2} satisfying the condition that every vertex u for which f(u) = 0 is adjacent to at least one vertex v for which f(v) = 2. The weight of an RDF is the value f(V (G)) = P u2V (G) f(u). An RDF f in a graph G is indep...

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Bibliographic Details
Main Authors: Chellali Mustapha, Rad Nader Jafari
Format: Article
Language:English
Published: University of Zielona Góra 2013-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1669