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