Extremal Graphs for a Bound on the Roman Domination Number

A Roman dominating function on a graph G = (V, E) is a function f:V (G) → {0, 1, 2} such that every vertex u for which f(u) = 0 is adjacent to at least one vertex v with f(v) = 2. The weight of a Roman dominating function is the value w(f) = Σu∈V(G)f(u). The minimum weight of a Roman dominating func...

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Bibliographic Details
Main Authors: Bouchou Ahmed, Blidia Mostafa, Chellali Mustapha
Format: Article
Language:English
Published: Sciendo 2020-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2142