%0 Journal Article %T Mathematical Properties and Computations of Banahatti indices for a Nano-Structure "Toroidal Polyhex Network" %J Asian Journal of Nanoscience and Materials %I Sami Publishing Company %Z 2645-775X %A Firdous, Shama %A Nazeer, Waqas %A Farahani, Mohammad Reza %D 2018 %\ 03/01/2018 %V 1 %N 1 %P 47-51 %! Mathematical Properties and Computations of Banahatti indices for a Nano-Structure "Toroidal Polyhex Network" %K topological index %K Banhatti index %K network %R 10.26655/ajnanomat.2018.1.6 %X 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. %U https://www.ajnanomat.com/article_58128_46c1108124798e40eb03f99aa3836c03.pdf