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Harary-Read numbers for catafusenes: Complete classification according to symmetry

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Abstract

The classical “Harary-Read numbers” for catafusenes (catacondensed simply connected polyhexes) are reproduced without using generating functions. A complete (mathematical) solution is given for the distribution of these numbers over the different symmetry groups to which the catafusenes belong.

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Cyvin, S.J., Brunvoll, J. & Cyvin, B.N. Harary-Read numbers for catafusenes: Complete classification according to symmetry. J Math Chem 9, 19–31 (1992). https://doi.org/10.1007/BF01172927

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  • DOI: https://doi.org/10.1007/BF01172927

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