| dc.creator | Philo Nithya, L. | |
| dc.creator | Kureethara, Joseph Varghese | |
| dc.date | 2021-12-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2851 | |
| dc.identifier | 10.4067/S0719-06462021000300411 | |
| dc.description | 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 \(\gamma_p(G)\leq i_p(G)\leq \beta_p(G) \leq \Gamma_p(G)\). | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2851/2124 | |
| dc.rights | Copyright (c) 2021 L. Philo Nithya et al. | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 No. 3 (2021); 411–421 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 Núm. 3 (2021); 411–421 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Domination chain | en-US |
| dc.subject | independent partial dominating set | en-US |
| dc.subject | partial independent set | en-US |
| dc.title | Independent partial domination | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
