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- W2885362904 abstract "The Wiener polarity index of a graph is defined as the number of unordered pairs of vertices at distance three. In recent years, this topological index was extensively studied since it has many known applications in chemistry and also in network theory. In this paper, we generalize the result of Behmaram et al. (Appl. Math. Lett. 25:1510–1513, 2012) for calculating the Wiener polarity index of a graph. An important advantage of our generalization is that it can be used for graphs that contain 4-cycles and also for graphs whose different cycles have more than one common edge. In addition, using the main result a closed formula for the Wiener polarity index is derived for phenylenes and recalculated for catacondensed benzenoid graphs. The catacondensed benzenoid graphs and phenylenes attaining the extremal values with respect to the Wiener polarity index are also characterized." @default.
- W2885362904 created "2018-08-22" @default.
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- W2885362904 date "2018-10-10" @default.
- W2885362904 modified "2023-10-15" @default.
- W2885362904 title "Formula for calculating the Wiener polarity index with applications to benzenoid graphs and phenylenes" @default.
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- W2885362904 doi "https://doi.org/10.1007/s10910-018-0957-7" @default.
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