International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 7

A note on global cototal domination in graphs

  • Author:
  • T. Sheeba Helen1, T. Nicholas2
  • Total Page Count: 8
  • Page Number: 228 to 235

1Department of Mathematics, Holy Cross College (Autonomous), Nagercoil, TamilNadu, India

2Department of Mathematics, St. Jude's College, Thoothoor, TamilNadu, India

Subject Classification: 05C69

Abstract

A dominating set D of a graph G is a global cototal dominating set if D is both a global dominating set and a cototal dominating set. The global cototal domination number γgcot(G) is the minimum cardinality of a global cototal domination set of G. In this paper we determine the value of the global cototal domination number γgcot(G) for Friendship graph, Helm graph, Trestled graph, Total graph, Web graph and Grid graph.

Keywords

Global domination number, Cototal domination number, Global cototal domination number