@article { author = {Firdous, Shama and Nazeer, Waqas and Farahani, Mohammad Reza}, title = {Mathematical Properties and Computations of Banahatti indices for a Nano-Structure "Toroidal Polyhex Network"}, journal = {Asian Journal of Nanoscience and Materials}, volume = {1}, number = {1}, pages = {47-51}, year = {2018}, publisher = {Sami Publishing Company}, issn = {2645-775X}, eissn = {2588-669X}, doi = {10.26655/ajnanomat.2018.1.6}, abstract = {Abstract: Let G be the connected graph with vertex set V(G) and edge set E(G).The first and second K Banhatti indices of G are defined as B1(G)=Σue[dG (u) +dG (e)] and B2(G)=Σue[dG (u) +dG (e)]  where ue means that the vertex u and edge e are incident in G.The first and second K hyper Banhatti indices of G are defined as HB1(G) = Σue[dg(u) + dG (e)]2 and HB2(G) = Σue[dg(u) dG (e)]2 respectively . In this paper, we compute the first and second K Banhatti indices of toroidal polyhex network. In addition, the first and second K hyper Banhatti indices of toroidal polyhex networks are determined. Keywords: Topological index, Banhatti index, Network.}, keywords = {topological index,Banhatti index,network}, url = {https://www.ajnanomat.com/article_58128.html}, eprint = {https://www.ajnanomat.com/article_58128_46c1108124798e40eb03f99aa3836c03.pdf} }