Taekyun Kim Stress Power $\alpha$-Index
H. Mangala Gowramma, Polaepalli Siva Kota Reddy, Taekyun Kim, R. Rajendra · Boletim da Sociedade Paranaense de Matemática · 2025
In this study, we introduce a novel topological index for graphs namely, Taekyun Kim stress power $\alpha$-index, which involves powers of stresses of nodes, where $\alpha$ is a non-negative number. We compute this index for various common graphs, prove some results, and construct some inequalities. Further, we analyze the correlation between Taekyun Kim stress power $\alpha$-index of chemical structures (molecular graphs) and physical properties of lower alkanes and linear regression models have been provided.