Abstract
In this article, the dominant vertex edge set was established using strong edges in bipolar fuzzy graphs. The subset T in V is described as the dominant vertex edge set in bipolar fuzzy graph GV,E if each strong edge e∈E, ∃ a vertex a∈T ∋ e incident on a.Also, some bounds in bipolar fuzzy graphs were described and characterized by the dominance number for the vertex edge γvebf(G). In addition, the dominance number for the vertex edge has been addressed in operations on bipolar fuzzy graphs with appropriate examples.
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