Author

Goran Radić

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Preprint Oct 2026

Structural aspects of $1$-limited domination in cubic graphs

A set $D\subseteq V(G)$ is a $1$-limited dominating set of a graph $G$ if every vertex outside $D$ has a neighbor in $D$ and every vertex of $D$ has at most one neighbor outside $D$. The minimum cardinality among all $1$-limited dominating sets of $G$ is denoted by $\gamma_1^{\mathrm L}(G)$. For every cubic graph $G$ o...

Goran Radić, Gordana Radić, Aleksandra Tepeh · 0 citations

Preprint Oct 2026

On $1$-limited and $(1,2)$-domination in cubic graphs

A dominating set $D$ of a graph is called $1$-limited if every vertex of $D$ has at most one neighbor outside $D$, while a $(1,2)$-dominating set is a dominating set in which every vertex of the set has at least two neighbors within the set. These two notions coincide on cubic graphs. We prove that the decision problem...

Goran Radić, Aleksandra Tepeh · 0 citations