# Semipaired Domination in Some Subclasses of Chordal Graphs

@article{Henning2021SemipairedDI, title={Semipaired Domination in Some Subclasses of Chordal Graphs}, author={Michael A. Henning and Arti Pandey and Vikash Tripathi}, journal={Discret. Math. Theor. Comput. Sci.}, year={2021}, volume={23} }

A dominating set $D$ of a graph $G$ without isolated vertices is called
semipaired dominating set if $D$ can be partitioned into $2$-element subsets
such that the vertices in each set are at distance at most $2$. The semipaired
domination number, denoted by $\gamma_{pr2}(G)$ is the minimum cardinality of a
semipaired dominating set of $G$. Given a graph $G$ with no isolated vertices,
the \textsc{Minimum Semipaired Domination} problem is to find a semipaired
dominating set of $G$ of cardinality…

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