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In the study of QSAR/QSPR, topological indices such as Shultz index, generalized Randic index, Zagreb index, general sum-connectivity index, atom-bond connectivity (ABC) index and geometric–arithmetic (GA) index are exploited to estimate the bioactivity of chemical compounds. A topological index attaches a chemical structure with a numeric number. There are numerous applications of graph theory in this field of research. In this paper we computed generalized Randic, general Zagreb, general sum-connectivity, ABC, GA, ABC 4 and GA 5 indices of the line graphs of 2 D -lattice, nanotube and nanotorus of TUC 4 C 8 [ p, q ] by using the concept of subdivision. [ABSTRACT FROM AUTHOR]

In QSAR/QSPR study, topological indices such as Shultz index, generalized Randic index, Zagreb index, general sum-connectivity index, atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index are utilized to guess the bioactivity of chemical compounds. A topological index in fact relates a chemical structure with a numeric number. Graph theory has established a significant use in this area of research. In this paper we computed ABC 4 and GA 5 indices of the line graph of tadpole, wheel and ladder graphs using the notion of subdivision. [ABSTRACT FROM AUTHOR]