Abstract

A larger number of studies reveal that, there is a strong inherent connection between the chemical characteristics of nanostructures and their molecular structures. Degree-based topological indices introduced on these chemical molecular structures can help material scientists better understand its chemical and biological features. In this chapter, on the concept of edge partition of graphs, we have obtained several degree-based indices of nanostructures: Tri-Hexagonal Boron Nanotube, Tri-Hexagonal boron nanotorus and Tri-Hexagonal boron \(-\alpha\) nanotorus.

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