Hosamani, S. M.; Lokesha, V.; Cangul, I. N.; Devendraiah, K. M. On certain topological indices of the derived graphs of subdivision graphs. (English) Zbl 1366.05110 TWMS J. Appl. Eng. Math. 6, No. 2, 324-332 (2016). Summary: The derived graph \([G]^†\) of a graph \(G\) is the graph having the same vertex set as \(G\), with two vertices of \([G]^†\) being adjacent if and only if their distance in \(G\) is two. Topological indices are valuable in the study of QSAR/QSPR. There are numerous applications of graph theory in the field of structural chemistry. In this paper, we compute generalized Randić, general Zagreb, general sum-connectivity, \(ABC\), \(GA\), \(ABC_4\), and \(GA_5\) indices of the derived graphs of subdivision graphs. Cited in 6 Documents MSC: 05C90 Applications of graph theory 05C35 Extremal problems in graph theory 05C12 Distance in graphs 05C76 Graph operations (line graphs, products, etc.) Keywords:topological indices; line graph; subdivision graph; derived graph PDFBibTeX XMLCite \textit{S. M. Hosamani} et al., TWMS J. Appl. Eng. Math. 6, No. 2, 324--332 (2016; Zbl 1366.05110)