Taekyun Kim $\alpha$-Index of graphs
H. Mangala Gowramma, Polaepalli Siva Kota Reddy, Taekyun Kim, R. Rajendra · Boletim da Sociedade Paranaense de Matemática · 2025
In this study, we introduce the Taekyun Kim $\alpha$-index, a novel topological index for graphs, where $\alpha\in \mathbb{R}$, which involves stresses and degrees of nodes. We calculate this index for a few common graphs and prove a few results. Further, a QSPR analysis is carried for Taekyun Kim $2$-index and physical properties of lower alkanes and linear regression models have been provided.