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Counting spanning trees with a Kekulé structure in linear hexagonal chains

Danyi Li and Weigen Yan

Applied Mathematics and Computation, 2023, vol. 456, issue C

Abstract: In chemical graph theory, many topological indices of the hexagonal chains, for instance, the energy, Wiener and Kirchhoff indices, and numbers of Kekulé structures and spanning trees, and so on, have been studied extensively. We enumerate spanning trees with a Kekulé structure in the linear hexagonal chains on the plane, cylinder and Möbius strip, respectively.

Keywords: Linear hexagonal chain; Spanning trees; Kekulé structure; Perfect matching; Matrix-tree theorem; Dual graph (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:456:y:2023:i:c:s0096300323002941

DOI: 10.1016/j.amc.2023.128125

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