On the Partition Dimension of Tri-Hexagonal α-Boron Nanotube

Abstract

The production of low-cost, small in size, and high in efficiency objects is the topic of research in almost all scientific fields, especially of engineering. In this scenario, nanotechnology becomes of great importance. To achieve these tasks, one needs to study the different physical and chemical aspects of a chemical compound. In mathematical graph theory, chemical compounds are transformed in a unique mathematical representation and then examined under various parameters for these purposes. The Partition Dimension is also one of these parametric tools, which are used to identify each atom or vertex of a chemical structure under some chosen conditions. In the present paper, we use this tool to show the unique identification of each atom of a tri-hexagonal lattice of the $\alpha $ -boron nanotube.

Keywords

• α-boron nanotube
• tri-hexagonal boron nanotube
• molecular graph
• resolving partition set
• partition dimension