VERTEX AND EDGE-VERTEX GRACEFUL LABELING ON NEUTROSOPHIC GRAPHS

VERTEX AND EDGE-VERTEX GRACEFUL LABELING ON NEUTROSOPHIC GRAPHS

G. Vetrivel , M. Mullai

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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.

Keywords

Intuitionistic fuzzy graph, Neutrosophic graph, Intuitionistic fuzzy vertex graceful labeling, Neutrosophic vertex graceful labeling.