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arXiv · 2102.02089

Tutte polynomials of fan-like graphs with applications in benzenoid systems

Tianlong Ma·Xian'an Jin·Fuji Zhang
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Abstract

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.

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Tianlong Ma, Xian'an Jin, Fuji Zhang. 2021-02-03. Tutte polynomials of fan-like graphs with applications in benzenoid systems. https://arxiv.org/abs/2102.02089

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