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Subdivision and semi total point graphs of Archimedean lattices on some topological indices. (English) Zbl 1435.05052

Summary: It is well known that any topological index is a type of molecular descriptor that is calculated based on the molecular graph of a chemical compound. In this paper, we investigate subdivision and semi total point graphs of the Archimedean lattices \(L_{(4,6,12)}\) for the topological indices nano-Zagreb index, multiplicative nano-Zagreb index, \(VL\)-index, atom bond connectivity index, inverse sum indeg index, forgotten index, augmented Zagreb index, geometric-arithmetic index, \(SK\)-index and hyper Zagreb index.

MSC:

05C09 Graphical indices (Wiener index, Zagreb index, Randić index, etc.)
05C12 Distance in graphs
05C35 Extremal problems in graph theory
05C90 Applications of graph theory
05C92 Chemical graph theory
92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.)
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