@article{Philo Nithya_Kureethara_2021, title={Independent partial domination}, volume={23}, url={https://cubo.ufro.cl/ojs/index.php/cubo/article/view/2851}, DOI={10.4067/S0719-06462021000300411}, abstractNote={<p class="p1">For \(p\in(0,1]\), a set \(S\subseteq V\) is said to \(p\)-dominate or partially dominate a graph \(G = (V, E)\) if \(\frac{|N[S]|}{|V|}\geq p\). The minimum cardinality among all \(p\)-dominating sets is called the \(p\)-domination number and it is denoted by \(\gamma_{p}(G)\). Analogously, the independent partial domination (\(i_p(G)\)) is introduced and studied here independently and in relation with the classical domination. Further, the partial independent set and the partial independence number \(\beta_p(G)\) are defined and some of their properties are presented. Finally, the partial domination chain is established as \(\gamma_p(G)\leq i_p(G)\leq \beta_p(G) \leq \Gamma_p(G)\).</p>}, number={3}, journal={CUBO, A Mathematical Journal}, author={Philo Nithya, L. and Kureethara, Joseph Varghese}, year={2021}, month={Dec.}, pages={411–421} }