Mathematical Properties and Computations of Banahatti indices for a Nano-Structure "Toroidal Polyhex Network"
Journal: Asian Journal of Nanoscience and Materials (Vol.1, No. 1)Publication Date: Winter2018
Authors : Mohammad Reza Farahani; Shama Firdous; Waqas Nazeer;
Page : 47-51
Keywords : ;
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.
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