Abstract
Let Rn be a square–hexagonal chain. In this paper, we show that there exists a caterpillar tree Tn such that the number of Kekulé structures of Rn is equal to the Hosoya index of Tn. Since both hexagonal chains and polyomino chains can be viewed as special square–hexagonal chains, our result generalizes the corresponding results for hexagonal chains (Gutman, 1977) and polyomino chains (Liand Yan, 2012).
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