Total global neighbourhood domination

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• Main Authors: Siva Rama Raju, S.V., Nagaraja Rao, I.H.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156643
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Total global neighbourhood domination / S.V. Siva Rama Raju, I.H. Nagaraja Rao // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 320-330. — Бібліогр.: 8 назв. — англ.

A subset D of the vertex set of a connected graph G is called a total global neighbourhood dominating set (tgnd-set) of G if and only if D is a total dominating set of G as well as GN, where GN is the neighbourhood graph of G. The total global neighbourhood domination number (tgnd-number) is the min...