Author

A. Serrano-Díaz

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Preprint Sep 2026

On the (independent) semitotal domination in subdivision, middle, and central graphs

A dominating set $D$ of a nontrivial connected graph $G$ is called a semitotal dominating set of $G$ if every vertex in $D$ is at distance at most two from another vertex in $D$. If, in addition, $D$ is an independent set, then $D$ is called an independent semitotal dominating set of $G$. The (independent) semitotal do...

A. Cabrera-Martínez, J. L. López-Carmona, Ismael Rios-Villamar et al. · 0 citations

Preprint Sep 2026

Independent domination in central graphs

Let $G$ be a graph with vertex set $V(G)$. A set $I\subseteq V(G)$ is an independent dominating set of $G$ if no two vertices in $I$ are adjacent and every vertex in $V(G)\setminus I$ is adjacent to at least one vertex in $I$. The independent domination number of $G$ is the minimum cardinality among all independent dom...

A. Cabrera-Martínez, J. L. López-Carmona, Ismael Rios-Villamar et al. · 1 citation