Bounds on the Double Italian Domination Number of a Graph

For a graph G, a Roman {3}-dominating function is a function f : V → {0, 1, 2, 3} having the property that for every vertex u ∈ V, if f(u) ∈ {0, 1}, then f(N[u]) ≥ 3. The weight of a Roman {3}-dominating function is the sum w(f) = f(V) = Σv∈V f(v), and the minimum weight of a Roman {3}-dominating fu...

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Bibliographic Details
Main Authors: Azvin Farzaneh, Rad Nader Jafari
Format: Article
Language:English
Published: University of Zielona Góra 2022-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2330