Mathematical Properties and Computations of Banahatti indices for a Nano-Structure "Toroidal Polyhex Network"
Journal Title: Asian Journal of Nanoscience and Materials - Year 2018, Vol 1, Issue 1
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.
Authors and Affiliations
Mohammad Reza Farahani, Shama Firdous, Waqas Nazeer
Keywords
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- EP ID EP579984
- DOI 10.26655/ajnanomat.2018.1.6
- Views 113
- Downloads 0
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Mathematical Properties and Computations of Banahatti indices for a Nano-Structure "Toroidal Polyhex Network"
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 v...