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.