@article { author = {Devaraj, Ajay and P, Chellamani}, title = {Picture fuzzy labelling graphs with an application}, journal = {Annals of Optimization Theory and Practice}, volume = {3}, number = {3}, pages = {117-134}, year = {2020}, publisher = {Firouzabad Institute of Higher Education}, issn = {2588-3666}, eissn = {2588-5995}, doi = {10.22121/aotp.2020.256899.1053}, abstract = {The main objective of this paper is to introduce the idea of picture fuzzy labelling of graphs and the concepts of strong arc, partial cut node, bridge of picture fuzzy labelling graphs, picture fuzzy labelling tree and cycle along with their properties and results. In addition, an application of the picture fuzzy graph labelling model for the human circulatory system has been discussed.}, keywords = {Picture fuzzy graph labelling,strength of connectedness,picture fuzzy labelling tree,picture fuzzy labelling cycle,fuzzy labelling graphs}, url = {https://aotp.fabad-ihe.ac.ir/article_120594.html}, eprint = {https://aotp.fabad-ihe.ac.ir/article_120594_4897d46500d41fdab17af0144ea5a819.pdf} }