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Published
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The total co-independent domination number of some graph operations
Volume 63, no. 1
(2022),
pp. 153–168
https://doi.org/10.33044/revuma.1652
Abstract
A set $D$ of vertices of a graph $G$ is a total dominating set if every vertex
of $G$ is adjacent to at least one vertex of $D$. The total dominating set
$D$ is called a total co-independent dominating set if the subgraph induced
by $V(G) - D$ is edgeless. The minimum cardinality among all total
co-independent dominating sets of $G$ is the total co-independent
domination number of $G$. In this article we study the total co-independent
domination number of the join, strong, lexicographic, direct and rooted
products of graphs.
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Published by the Unión Matemática Argentina |