Total Domination in Fuzzy Graphs Using Strong Arcs
نویسنده
چکیده
In this paper we introduce the concept of strong total domination in fuzzy graphs. We determine the strong total domination number for several classes of fuzzy graphs. A lower bound and an upper bound for the strong total domination number in terms of strong domination number is obtained. Strong total domination in fuzzy trees is studied. A necessary and sufficient condition for the set of fuzzy cut nodes to be a strong total dominating set is discussed. Also it is established that in a non trivial fuzzy tree each node of a strong total dominating set is incident on a fuzzy bridge .
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