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A New Simple Proof of Cayley’s Formula and its Relationship with the Kirkwood–Salzburg Equations

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Ukrainian Mathematical Journal Aims and scope

We propose a new very simple proof of the formula for the number of labeled root forest graphs with a given number of vertices. As a partial case of this formula, we obtain Cayley’s formula.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    O. L. Rebenko

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  1. O. L. Rebenko
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Correspondence to O. L. Rebenko.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 10, pp. 1441–1444, October, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i10.7156.

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Rebenko, O.L. A New Simple Proof of Cayley’s Formula and its Relationship with the Kirkwood–Salzburg Equations. Ukr Math J 74, 1645–1648 (2023). https://doi.org/10.1007/s11253-023-02160-3

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  • DOI: https://doi.org/10.1007/s11253-023-02160-3

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