Total Protection of Lexicographic Product Graphs

Given a graph G with vertex set V (G), a function f : V (G) → {0, 1, 2} is said to be a total dominating function if Σu∈N(v) f(u) > 0 for every v ∈ V (G), where N(v) denotes the open neighbourhood of v. Let Vi = {x ∈ V (G) : f(x) = i}. A total dominating function f is a total weak Roman dominatin...

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Bibliographic Details
Main Authors: Martínez Abel Cabrera, Rodríguez-Velázquez Juan Alberto
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.2318