A Noval Approach on Picture Fuzzy Graceful Labeling in Fluid flows

Abstract

Graph labeling is one of the best network models in the study of fluid dynamics in the flow of particles. But the said labeling is not provided the better results to represent in any of network model having neutral membership degree in case of ambiguity. To overcome the above mentioned problem ,Picture fuzzy graph labeling is playing a major role in  the framing of network model in fluid dynamics in case of neutrality degree which  have been represented by a picture fuzzy graph.

  In this paper, the researcher have shown picture fuzzy graph labeling on star graph which is used to represent the flow of particles in fluid dynamics. Also they have extended the concepts towards the existence of picture fuzzy graceful labeling and picture fuzzy ant magic labeling in fuzzy star graph  which will be helpful to analyze the properties of flow of particles in the fluid flow.