Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2011
  • Volume: 30e
  • Issue: 1

A note on global total domination in graphs

  • Author:
  • J. Deva Raj, V. Sujin Flower
  • Total Page Count: 8
  • Page Number: 63 to 70

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

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.

Keywords

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