Can I read $3$-Tuple Total Domination Number of Rook's Graphs on EtoBox?

$3$-Tuple Total Domination Number of Rook's Graphs by Pahlavsay, Behnaz; Palezzato, Elisa; Torielli, Michele is a scholarly article available to read on EtoBox.

What is $3$-Tuple Total Domination Number of Rook's Graphs about?

A $k$-tuple total dominating set ($k$TDS) 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 $k$TDS is called the $k$-tuple total dominating number and it is denoted by $\gamma_{\times k,t}(G)$. We give a constructive proof of a general formula for $\gamma_{\times 3, t}(K_n \Box K_m)$.

Author

Pahlavsay, Behnaz; Palezzato, Elisa; Torielli, Michele

Published

2018

Language

EN