A note on edge domination in fuzzy graphs
A. Selvam, C.Y. Ponnappan · Malaya Journal of Matematik · 2020
An edge dominating set \(D^{\prime}\) of a fuzzy graph \(G=(\sigma, \mu)\) is an effective edge dominating set if every edge in \(D^{\prime}\) is effective. In the present work, the concept of effective edge domination in fuzzy graphs is introduced. We determine the effective edge domination number \(\gamma^{\prime}(G)\) of some kind of fuzzy graphs. We present some general bounds related to the effective edge domination number. In addition, this new domination is being discussed in the join of fuzzy graphs.