Abstract

Let \(G=(V,E)\) be an intuitionistic fuzzy graph. A subset D of V is a double dominating set of G if for each vertex in \(V-D\) is dominated by at least two vertices in D. The double domination number of G is the minimum fuzzy cardinality of all double domination set of G and is denoted by \(\gamma _{dd} (G)\). In this paper, some theorems are proved on double domination of intuitionistic fuzzy graph G. An interesting result on \(\gamma _{dd} (G)\) using some known parameter of G is obtained. Application of domination in intuitionistic fuzzy graph is also presented.

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