CLASSIFICATION OF EDGES IN A PICTURE FUZZY GRAPH

The concept of connectivity plays an important role in both theory and applications of picture fuzzy graphs, this paper classifies edges of a picture fuzzy graph into three types namely robust edge, fragile edge and futile edge depending on the strength of an edge. The advantage of this classification is used to understand the fundamental structure of a picture fuzzy graph completely. Theorems and properties related to these edges have been proved with examples.