We study the computation of the Tutte polynomials of fan-like graphs and obtain expressions of their Tutte polynomials via generating functions. As applications, Tutte polynomials, in particular, the number of spanning trees, of two kinds of benzenoid systems, i.e. pyrene chains and triphenylene chains, are obtained.

中文翻译：

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类扇形图的 Tutte 多项式在苯系系统中的应用

我们研究了扇形图的 Tutte 多项式的计算，并通过生成函数获得了它们的 Tutte 多项式的表达式。作为应用，得到了芘链和苯并苯链两种苯系的Tutte多项式，特别是生成树的个数。