Different Types of Domination in Fuzzy Graphs Using Strong Arcs

Different Types of Domination in Fuzzy Graphs Using Strong Arcs

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Different types of degrees of a node in fuzzy graphs are discussed. Bounds for the domination number of fuzzy graphs are obtained. Domination in fuzzy trees is studied. The concept of strong domination number of fuzzy graphs is introduced by using membership values of strong arcs in fuzzy graphs. The strong domination number of complete fuzzy graph and complete bipartite fuzzy graph is determined and bounds for the strong domination number of fuzzy graphs are obtained. Also the relationship between the strong domination number of a fuzzy graph and that of its complement is discussed. The effec...