Perfect Roman {3}-Domination in Graphs: Complexity and Bound of Perfect Roman {3}-Domination Number of Trees

A perfect Roman 3-dominating function on a graph G=V,E is a function f:V⟶0,1,2,3 having the property that if fv=0, then ∑u∈Nvfu=3, and if fv=1, then ∑u∈Nvfu=2 for any vertex v∈V. The weight of a perfect Roman 3-dominating function f is the sum ∑v∈Vfv. The perfect Roman 3-domination number of a graph...

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Bibliographic Details
Main Author: Ahlam Almulhim
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/jom/1900923
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