Abstract
The coloring is one of the most famous research topic in graph theory. Nowadays, researchers develop the area of coloring in fuzzy graph. In this paper, we will develop the concept of effective coloring in IFG. In an Intuitionistic Fuzzy Graph (IFG), an effective coloring function is a mapping such that it is an effective edge in. In this research, the notion of effective coloring is introduced. Further investigate an effective coloring in operation of IFG, like join, strong product, semi product, composition, etc.
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