Vertex and edge-vertex graceful labeling on neutrosophic graphs

Abstract

A graph G with gracefully numbered labels is known as graceful labeling. An intuitionistic fuzzy graph/ neutrosophic graph, which admits graceful labeling, and if all vertex labels are distinct by each membership, then the graph is said to be an intuitionistic fuzzy vertex graceful graph/ neutrosophic vertex graceful graph. Suppose both vertex and edge labels of an intuitionistic fuzzy graceful graph/ neutrosophic graceful graph are distinct by each membership. In that instance, it is referred to as an intuitionistic fuzzy edge-vertex graceful graph/ neutrosophic edge-vertex graceful graph. In this paper, the concept of vertex and edge-vertex graceful labeling has been newly discussed on some intuitionistic and neutrosophic graphs.