Total global neighbourhood domination

• Date: 2018
• Main Authors: Siva Rama Raju, S. V., Nagaraja Rao, I. H.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: semi complete graph; total dominating set; connected dominating set; 05C69
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/86
• Journal Title: Algebra and Discrete Mathematics

A subset \(D\) of the vertex set of a connected graph \(G\) is called a total global neighbourhood dominating set (\(\mathrm{tgnd}\)-set) of \(G\) if and only if \(D\) is a total dominating set of \(G\) as well as \(G^{N}\), where \(G^{N}\) is the neighbourhood graph of \(G\). The total global neigh...