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arXiv · 2301.09036

Number of Matchings of Low Order in (4,6)-Fullerene Graphs

Zhi-Feng Wei·Heping Zhang
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Abstract

We obtain the formulae for the numbers of 4-matchings and 5-matchings in terms of the number of hexagonal faces in (4, 6)-fullerene graphs by studying structural classification of 6-cycles and some local structural properties, which correct the corresponding wrong results published. Furthermore, we obtain a formula for the number of 6-matchings in tubular (4, 6)-fullerenes in terms of the number of hexagonal faces, and a formula for the number of 6-matchings in the other (4,6)-fullerenes in terms of the numbers of hexagonal faces and dual-squares.

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Zhi-Feng Wei, Heping Zhang. 2023-01-22. Number of Matchings of Low Order in (4,6)-Fullerene Graphs. https://arxiv.org/abs/2301.09036

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