Fuzzy Vertex Range Labeling of Some Graph Families

The main objective of this paper is to introduce fuzzy vertex range labeling and look at this for some graph families subject to suitable conditions. In this article, the authors have introduced a new idea in fuzzy graph labeling called fuzzy vertex range labeling. A graph G that can be assigned values as the difference between the maximum and minimum values in fuzzy graph labeling strategy and if all the vertex values are distinct, is called fuzzy vertex range labeling. If G admits fuzzy vertex range labeling then G is called fuzzy vertex range graph. The authors have explored fuzzy vertex range labeling on Fan graph, Double fan graph, Wheel graph and Double wheel graph.