A New Upper Bound for the Perfect Italian Domination Number of a Tree

A perfect Italian dominating function (PIDF) on a graph G is a function f : V (G) → {0, 1, 2} satisfying the condition that for every vertex u with f(u) = 0, the total weight of f assigned to the neighbors of u is exactly two. The weight of a PIDF is the sum of its functions values over all vertices...

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Bibliographic Details
Main Authors: Nazari-Moghaddam Sakineh, Chellali Mustapha
Format: Article
Language:English
Published: University of Zielona Góra 2022-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2324