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Coding and counting spanning trees in Kleitman-Golden graphs

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Abstract

Spanning trees of squares (in Harary's sense) of simple chains and simple cycles are coded by words in a three-letter alphabet. Counting of spanning trees in these graphs is reduced to counting of code words by the generating function method for ordered partitions.

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Translated from Kibernetika, No. 3, pp. 1–7, May–June, 1991.

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Koganov, L.M. Coding and counting spanning trees in Kleitman-Golden graphs. Cybern Syst Anal 27, 311–319 (1991). https://doi.org/10.1007/BF01068310

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  • DOI: https://doi.org/10.1007/BF01068310

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