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 72
  • Downloads 0

How To Cite

Mohammad Reza Farahani, Shama Firdous, Waqas Nazeer (2018). Mathematical Properties and Computations of Banahatti indices for a Nano-Structure "Toroidal Polyhex Network". Asian Journal of Nanoscience and Materials, 1(1), 47-51. https://europub.co.uk/articles/-A-579984