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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2011, Volume : 30e, Issue : 1
First page : ( 63) Last page : ( 70)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.

A note on global total domination in graphs

Dr. Raj J. Deva*, Flower V. Sujin**

Department of Mathematics, Nesamony Memorial Christian College, Marthandam -629 165, Tamil Nadu, India

*Email: devaraj_jacob@yahoo.co.in

**Email: sujinflower@gmail.com

Mathematics Subject Classification: 05C Field: Graph Theory Subfield: Domination

Online published on 22 February, 2013.

Abstract

A dominating set S of a graph G is a global total dominating set if S is both a global dominating set and a total dominating set. The global total domination number g gt (G) is the minimum cardinality of a global total dominating set of G. In this paper we discuss some results on global total domination number.

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Keywords

global domination, total domination, global total domination, global total domination number.

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