TY - JOUR ID - 58128 TI - Mathematical Properties and Computations of Banahatti indices for a Nano-Structure "Toroidal Polyhex Network" JO - Asian Journal of Nanoscience and Materials JA - AJNM LA - en SN - 2645-775X AU - Firdous, Shama AU - Nazeer, Waqas AU - Farahani, Mohammad Reza AD - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan AD - Divisionof Science and Technology, University of Education, Lahore, 54000, Pakistan AD - Department of Applied Mathematics of Iran University of Science and Technology (IUST), Narmak, Tehran 16844, Iran Y1 - 2018 PY - 2018 VL - 1 IS - 1 SP - 47 EP - 51 KW - topological index KW - Banhatti index KW - network DO - 10.26655/ajnanomat.2018.1.6 N2 - 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. UR - https://www.ajnanomat.com/article_58128.html L1 - https://www.ajnanomat.com/article_58128_46c1108124798e40eb03f99aa3836c03.pdf ER -