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Author

Gordana 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

An improved lower and upper bound of the k-limited domination number

We continue the study of $k$-limited domination in graphs, a domination variant in which each vertex of a dominating set may dominate at most $k$ vertices outside the set. This concept extends classical domination by incorporating capacity constraints on dominating vertices. We improve the general lower bound for the $...

Gordana Radić · 0 citations

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