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

Tianlong Ma, Jin, Xian’an and Fuji Zhang

Applied Mathematics and Computation, 2021, vol. 411, issue C

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.

Keywords: Tutte polynomial; Fan-like graph; Benzenoid system; Spanning tree; Generating function (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321005853

DOI: 10.1016/j.amc.2021.126496

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