International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3304 2020 2020 Sri Eshwar College of Engineering, Coimbatore 641202, Tamil Nadu, India; Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India Hemalatha Hemalatha Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India Kanagasabapathi Somasundaram Department of Mathematics, PSG Institute of Technology and Applied Research, Coimbatore, Tamil Nadu, India Sandhiya Pechimuthu The study of chemical compounds’ molecular structures is one of the most cutting-edge uses of graph theory, along with computer science, nanochemistry, network design in electrical and electronic engineering, and the depiction of graphs in Google Maps. The degree and distance between vertices of a graph are the basis for examining topological indices. The formula for computing the Weighted Padmakar Ivan index (WPI) of a graph G is PIw(G) = P e∈E(G) [(dG(u) + dG(v)][|V (G)| − NG(e)]. 2025 2025 312 321 10.54216/IJNS.250328 https://www.americaspg.com/articleinfo/21/show/3304