3-Tuple Total Domination Number of Rook’s Graphs

A k-tuple total dominating set (kTDS) of a graph G is a set S of vertices in which every vertex in G is adjacent to at least k vertices in S. The minimum size of a kTDS is called the k-tuple total dominating number and it is denoted by γ×k,t(G). We give a constructive proof of a general formula for...

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Bibliographic Details
Main Authors: Pahlavsay Behnaz, Palezzato Elisa, Torielli Michele
Format: Article
Language:English
Published: University of Zielona Góra 2022-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2242