Abstract
Over the past few decades, significant progress has been made in the development of nanomaterials, including carbon nanotubes, boron nanoclusters, boron nanowires, boron nanotubes and many more. These nanomaterial have revolutionized the twenty first century, finding applications in vital domains such as defense, security, electronics, optical engineering, and medicine. Among these nanomaterials, boron nanomaterials hold great importance in nanotechnology due to their exceptional electrical and mechanical properties. The face index of graph is a metric that plays a crucial role in graph theory, providing valuable insights into the structural properties of a graph. It sheds light on graph’s connectivity and planarity, allowing researchers to analyze and understand its characteristics more effectively. In this article, we calculated the recently introduced face index for three significant classes of boron nanotubes: tri-hexagonal nanotube, tri-angular boron nanotube and boron-α nanotubes.
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