Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. In QSAR/QSPR study, physico-chemical properties and topological indices such as the Randić, the atom-bond connectivity (ABC) and the geometric-arithmetic (GA) indices are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we study poly honeycomb networks which are generated by a honeycomb network of dimension n and derive analytical closed results for the general Randić index Rα(G) for different values of α, for a David derived network (DD(n)) of dimension n, a dominating David derived network (DDD(n)) of dimension n as well as a regular triangulene silicate network of dimension n. We also compute the general first Zagreb, ABC, GA, ABC4and GA5indices for these poly honeycomb networks for the first time and give closed formulas of these degree based indices in case of poly honeycomb networks.
- Atom-bond connectivity (ABC) index
- David derived networks
- General Randić index
- Geometric-arithmetic (GA) index
- Regular triangulene silicate network
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