Upper paired domination versus upper domination

@article{Alizadeh2021UpperPD,
title={Upper paired domination versus upper domination},
journal={ArXiv},
year={2021},
volume={abs/2104.02446}
}
• Published 6 April 2021
• Mathematics
• ArXiv
A paired dominating set $P$ is a dominating set with the additional property that $P$ has a perfect matching. While the maximum cardainality of a minimal dominating set in a graph $G$ is called the upper domination number of $G$, denoted by $\Gamma(G)$, the maximum cardinality of a minimal paired dominating set in $G$ is called the upper paired domination number of $G$, denoted by $\Gamma_{pr}(G)$. By Henning and Pradhan (2019), we know that $\Gamma_{pr}(G)\leq 2\Gamma(G)$ for any graph \$G…

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