Interconnection networks stand as fundamental infrastructure in today’s era, facilitating communication across diverse domains. The vulnerability of interconnection networks is derived from analyzing the network’s robustness, which is directly related to its topological structure. Chemical graph theory provides a powerful lens through which we can mathematically dissect molecular structures. In today’s context, this approach extends beyond molecules to interconnection networks representing various chemical compounds. In this study, we view the boron \(\alpha \) -nanotube as a growing network and investigate its vertex vulnerability.