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INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 6, Issue 7, November 2017

Pages: 228-235

Date of Publication: 25-Nov-2017


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A NOTE ON GLOBAL COTOTAL DOMINATION IN GRAPHS

Author: T. Sheeba Helen, T. Nicholas

Category: Engineering, Science and Mathematics

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.

Subject Classification: 05C69

Keywords: Global domination number, Cototal domination number, Global cototal domination number.