Bounds on the Locating Roman Domination Number in Trees

A Roman dominating function (or just 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 f is the value f(V (G)) = ∑u∈V(G)f(u). An RDF f can be represe...

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Bibliographic Details
Main Authors: Jafari Rad Nader, Rahbani Hadi
Format: Article
Language:English
Published: Sciendo 2018-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1989